彭双阶-华中师范大学数学学院中文站

彭双阶

English Version (英文版)

职称教授
办公室六号楼M517
邮箱

个人简介

彭双阶，教授，博士生导师,非线性分析及其应用教育部重点实验室主任。国际数学期刊《Comm.Pure Appl.Anal.》、《J. Scientific Resesrch and Report》编委、《数学物理学报》（中、英文版）常务编委、《应用数学学报》编委，《数学进展》编委，《应用数学》编委，美国《数学评论》评论员、德国《数学评论》评论员，中国数学会第三届全国非线性泛函分析专委会副主任兼秘书长。2003年获中国科学院院长特别奖，2007年入选教育部"新世纪优秀人才支持计划"，2009年获得教育部自然科学奖二等奖，2010年获得湖北省自然科学奖一等奖，2011年获得国家杰出青年科学基金，2012年入选首批湖北省重大人才工程“高端人才引领培养计划”并荣获湖北省第六届优秀科技工作者称号。教学成果两次获得国家级教学成果奖二等奖，多次获得湖北省高等学校教学成果奖特等奖、一等奖。

开设课程

《泛函分析》、《线性代数》、《数学鉴赏》、《二阶椭圆型偏微分方程》、《变分方法》、《偏微分方程现代理论》等

研究方向

非线性偏微分方程、非线性泛函分析、奇异摄动理论等

教育经历

1983,09~1986,07：湖北省孝感市师范学校

1986,09~1990,06: 湖北大学数学专业

1995,08~1998,06: 华中师范大学数学系基础数学专业硕士学位研究生,获基础数学硕士学位

2000,09~2003,07: 中国科学院数学与系统科学研究院博士学位研究生,获应用数学博士学位

工作经历

工作经历:

1986,08~1995,08:  湖北省孝昌县周巷镇中学教师

1998,07~2003,08:  湖北省孝感学院数学系, 讲师,副教授

2003,09~2005,07:  中国科学院武汉物理与数学研究所, 副研究员

2004,01~2005,08:  受德国洪堡基金会资助在德国吉森大学做洪堡学者

2004,06~2004,06:  瑞士洛桑联邦高工应用数学系

2004,06~2004,07:  瑞士苏黎世大学数学系

2004,11~2004,11:  德国Cottbus工业大学数学研究所

2005,06~2005,06:  德国Meinz大学数学研究所, 第二届德国美国数学会联合会议

2005,06~2005,07:  德国Oberwolfach数学研究所

2005,08~  今   :  华中师范大学数学与统计学学院, 教授, 博士生导师

2006,05~2006,07:  中国科学院数学与系统科学研究院,访问学者

2007,06~2007,08:  中国科学院数学与系统科学研究院,访问学者

2007,10~2007,11:  澳大利亚新英格兰大学, 访问学者

2009,01~2009,05:  美国University of Iowa, 访问学者

2010,10~2010,11:  澳大利亚新英格兰大学, 访问学者

2011,03~2011,04:  美国University of Iowa, 访问学者

2012,04~2012,05:  澳大利亚新英格兰大学, 访问学者

2012,10~2012,11:  台湾大学台大数学科学中心,访问学者

2013,07~2013,08:  美国 Wright State University, 访问学者

2014,01~2014,02:  香港中文大学数学研究所，访问学者

2014,06~2014,07:  台湾大学台大数学科学中心,访问学者

2014,09~2014,10:  澳大利亚新英格兰大学, 访问学者

2014,11~2014,11:  香港中文大学数学研究所，访问学者

2014,12~2014,12:  新加坡国立大学数学研究所，访问学者

2016,01~2016,02:  香港中文大学数学研究所，访问学者

2016,10~2016,10:  澳大利亚新英格兰大学、国立大学，访问学者

2017,04~2017,04:  香港中文大学数学研究所，访问学者

2017,09~2017,09:  芬兰赫尔辛基大学，访问学者


 

社会或学术兼职：

《Comm.Pure Appl.Anal.》编委

《Acta Mathematica Scientia》(中、英文版)常务编委

数学期刊《Abstr. Appl. Anal.》编委

学术期刊《Journal of Scientific Research and Report》编委

《数学进展》编委

《应用数学学报》编委

《应用数学》编委

中国数学会第三届非线性泛函分析专业委员会副主任兼秘书长



奖励情况:

1.   2011年获得国家杰出青年科学基金

2.   2012年入选首批湖北省重大人才工程“高端人才引领培养计划”

3.   2012年荣获湖北省第六届优秀科技工作者称号

4.   2017年享受国务院政府特殊津贴

5.   2017年获得湖北省五一劳动奖章

6.   2013年获得第二届武汉欧美同学会/武汉留学人员联谊会“留学报国贡献奖”

7.   2010年获得湖北省自然科学奖一等奖

8.   2009年获得教育部自然科学奖二等奖

9.   2022年获得湖北省高等学校教学成果奖特等奖

10.   2018年获得国家级教学成果奖二等奖

11.   2014年获得国家教学成果奖二等奖

12.  2013年获得湖北省高等学校教学成果奖一等奖

13.  2017年获得湖北省高等学校教学成果奖一等奖（主持）

14.  2017年获得湖北省高等学校教学成果奖一等奖（参与，排名2）

15.  2012年获得华中师范大学教学成果奖特等奖

16.  2015年获得华中师范大学第五届“桂苑名师”称号  

17.  2007年入选教育部"新世纪优秀人才支持计划"

18.  2003年度中国科学院院长特别奖

研究成果

主要论著目录:
113.Yin bin Deng, Shuangjie Peng and Xian Yang, Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian,J. Differential Equations 371(2023),299-352.

112.  Yuchen Bi, Jiayu Li, Lei Liu and Shuangjie Peng, The C^0-convergence at the Neumann boundary for Liouville equations, Calc. Var. Partial Differential Equations, 62(2023), no.3,Paper No.107, 26pp.

111. Peng Luo, Kefan Pan, Shuangjie Peng and Yang Zhou, Local uniqueness of concentrated solutions and some applications on nonlinear Schrodinger equations with very degenerate potentials, J. Funct. Anal., 284(2023), no.12, Paper No.109921,55pp.

110. Qing Guo, Junyuan Liu and Shuangjie Peng, Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type, J. Differential Equations, 335(2023), 16-61.
 
109. Yujin Guo, Yong Luo and Shuangjie Peng, Existence and asymptotic behavior of ground states for rotating Bose-Einstein condensates, SIAM. J. Math. Anal., 55(2023), no.2, 773-804.

108. Peng Luo, Shuangjie Peng and Yang Zhou, On the prescribed scalar curvature problem with very degenerate prescribed functions, Calc. Var. Partial Differential Equations, 62(2023), no.3, Paper No.79,35pp.

107. Qing Guo, Yuxia Guo and Shuangjie Peng, New existence of multi-spike solutions for the fractional Schrodinger equations, Sci. China Math.,66(2023), no.5, 977-1002.

106. Yinbin Deng, Shuangjie Peng, Xinyue Zhang and Yang Zhou, A class of supercrtical Sobolev type of inequalities with logarithm and related elliptic equations, J. Differential Equations, 341(2022), 150-188.

105. Yuxia Guo, Monica Musso, Shuangjie Peng and Shusen Yan, Nondegeneracy and existence of new solutions for the Schrodinger equations, J. Differential Equations, 326(2022), 254-279.

104. Qi Li, Kefan Pan and Peng, Positive solutions for nonlinear fractional equations with an external force term, Discrete Contin. Dyn. Syst., 42(2022), 4669-4706.

103. Qi Li, Shuangjie Peng and Wei Shuai: On fractional logarithmic Schrodinger equations, Adv. Nonlin. Stud., 22(2022), 41-66.

102. Qi Li and Shuangjie Peng: On the fractional Lazer-McKenna conjecture with critical growth, Proc. Royal  Soc. Edinburgh, 152(2022), 879-911.

101. Xiaoming An and Shuangjie Peng, Multi-peak semiclassical  bound states for fractional Schrodinger equations with fast decaying potentials,  Electron. Res. Arch.,  30(2022), 585-614.

100. Daomin Cao, Peng Luo and Shuangjie Peng: The number of positive solutions to the the Brezis-Nirenberg problem, Trans. Amer. Math. Soc., 374(2021), 1947-1985.

99. Yujin Guo, Yong Luo and Shuangjie Peng, Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions, Calc. Var. Partial Differential Equations, 237(2021), 27pp.

98. Daomin Cao, Shuangjie Peng and Shusen Yan, Singularly perturbed methods for nonlinear elliptic equations, Cambridge Studies in Advanced Mathematics, 192, Cambridge University Press, Cambridge, 2021, 252pp.

97. Peng Luo, Shuangjie Peng, Juncheng Wei and Shusen Yan: Excited states of Bose-Einstein condensates with degenerate
attractive interactions, Calc. Var. Partial Differential Equations 60 (2021), no. 4, Paper No. 155, 33 pp.

96. Mengyao Chen, Qi Li and Shuangjie Peng: Bound states for fractional Schrodinger-Poisson system with critical exponent,  Discrete Contin. Dyn. Syst. Ser. S 14 (2021), no. 6, 1819-1835.

95. Yuxia Guo, Monica Musso, Shuangjie Peng and Shusen Yan: Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications, J. Funct. Anal. (2020), 108553.

94. Peng Luo, Shuangjie Peng and Chunhua Wang: Uniqueness of positive solutions with concentration for the
Schrödinger-Newton problem, Calc. Var. Partial Differential Equations, (2020), 59:60.

93. Wei Long and Shuangjie Peng: Positive vector solutions for a Schrödinger system with external source terms, NoDEA Nonlinear Differential Equations Appl., 27(2020), No 5, 36pp.

92.Dengfeng Lu and Shuangjie Peng: Multi-peak solutions for singularly perturbed doubly nonlocal elliptic equations,Comm. Contem. Math., 22(2020), 1850074, 37pages.

91.Gongbao Li, Peng Luo, Shuangjie Peng, Chunhua Wang and Chang-Lin Xiang: A singularly perturbed Kirchhoff problem revisited, J. Differential Equations, 268(2020), 541-589.

90.Daomin Cao, Yuxia Guo, Shuangjie Peng and Shusen Yan: Local uniqueness for  vortex patch  problem in incompressible planar steady flow, J. Math. Pures Math., (9) 131(2019), 251-289.

89. Lun Guo, Tingxi Hu, Shuangjie Peng and Wei Shuai: Existence and uniqueness of solutions for Choquard equation
involving Hardy–Littlewood–Sobolev critical exponent, Calc. Var. Partial Differential equations, 58(2019), 128: 34pp.

88.Shuangjie Peng, Qingfang Wang and Zhi-Qiang Wang: On coupled nonlinear Schrodinger systems with mixed couplings,Trans. Amer.Math. Soc., 371(2019), 7559-7583.

87.Shuangjie Peng, Chunhua Wang and Suting Wei: Constructing solutions for the Prescribed scalar curvature problem via local Pohozaev identities, J. Differential Equations, 267(2019), 2503-2530.

86. Qihan He and Shuangjie Peng: Existence, characterization and number of ground states for coupled equations, Electron. J. Differential Equations 2019, Paper No. 127, 18 pp.

85.Peng Luo, Shuangjie Peng, Chunhua Wang and Chang-Lin Xiang: Multi-peak positive solutions to a class of Kirchhoff equations,Proc. Roy. Soc. Edinburgh Sect. A,149(2019),1097-1122.

84.Xiaoming An, Shuangjie Peng and Chaodong Xie: Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity, J. Math. Phys., 60(2019),021501, 18pp.

83.Xiaoming An, Shuangjie Peng and Chaodong Xie: Achievability of a supremum for the Hardy-Littlewood-Sobolev inequality with supercritical exponent, Sci China Math., 62(2019), 2497-2504.

82.Shuangjie Peng, Yanfang Peng and Qingfang Wang: Sign-changing solutions for an ellictic systemwith critical exponent in dimension N=5, Journal d'Analyse Mathematique,137(2019), 231-249.

81. Daomin Cao, Shuangjie Peng and Shusen Yan: Regularization of planar vortices for the incompressible flow. Acta Math. Sci. Ser. B (Engl. Ed.), 38 (2018), no. 5, 1443-1467.

80.Shuangjie Peng, Chunhua Wang and Shusen Yan: Construction of solutions via local Pohozaev identities, J.Funct. Anal., 274（2018)，2606-2633.

79.Yinbin Deng, Shuangjie Peng and Wei Shuai: Nodal standing waves for a gauged nonlinear Schrodinger equation in R^2, J.Differential Equations, 264(2018),4006-4035.

78.Daomin Cao, Zhongyuan Liu and Shuangjie Peng: Sign-changing bubble tower solutions or the supercritical Henon type equations,Annali di Mathematica Pura ed Applicata,197（2018),1227-1246.

77.Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal solutions for a quasilinear elliptic equation involving the p-Laplacian and critical exponent, Adv.Nonlinear Stud.,18(2018),17-40.

76.Dengfeng Lv and Shuangjie Peng: Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems, J. Differential Equations, 263(2017),8947-8978.

75.Qihan He, Shuangjie Peng and Yanfang Peng: Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional slliptic system, Adv. Differential Equations, 22(2017), 867-892.

74.Yuxia Guo, Shuangjie Peng and Shusen Yan: Local uniqueness and periodicity induced by concentration,Proc. Lond. Math. Soc.（3）, 114(2017), 1005-1043.

73. Shuangjie Peng, Wei Shuai and Qingfang Wang: Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent, J. Differential  Equations, 263(2017), 709-731.

72. Dengfeng Lu and Shuangjie Peng: On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling,Discrete Contin. Dyn.Syst.,37(2017),3327-3352.

71. Daomin Cao, Shuangjie Peng and Qingfang Wang: Pohozaev恒等式及其在偏微分方程中的应用， Sci. Sin. China,46(2016), 1649-1674. (综述文章)

70.Shuangjie Peng, Yan-Fang Peng and Zhi-Qiang Wang: On elliptic systems with Sobolev critical exponent,Calc. Var. Partial Differential Equations, 55(2016), No.6, 30pp.

69. Qihan He and Shuangjie Peng: Synchronized vector solutions to an elliptic system,Proc. Amer.Math. Soc., 144(2016), 4055-4063.

68. Zhongyuan Liu and Shuangjie Peng: Solutions with large number of peaks for the supercritical Henon equation, Pacific J. Math., 280(2016), 115-139.  

67. Wei Long and Shuangjie Peng: Multiple positive solutions for a type of nonlinear Schrodinger equations, Ann. Sc. Norm. Super. Pisa, Cl. Sci., 16(2016), 603-623.  

66. Yinbin Deng, Shuangjie Peng and Shusen Yan: Critical exponents and solitary wave  solutions for  generalized quasilinear Schrodinger equations, J. Differential  quations, 260(2016), 1228-1262.

65. Zhongyuan Liu and Shuangjie Peng: Infinitely many double-boundary-peak solutions for a Henon-like equation with critical nonlinearity, J. Differential Equations, 260(2016), 370-400.

64. Shuangjie Peng and Huirong Pi: Spike vector solutions for some coupled nonlinear Schrodinger equations, Discrete Contin. Dyn. Syst., 36(2016), 2205-2227.  

63. Wei Long, Shuanjie Peng and Jing Yang: Infinitely many positive solutions and sign-changing solutions for nonlinear fractional Schrodinger equations,  Discrete Contin. Dyn. Syst.,36(2016),175-201.  

62. Yinbin Deng, Shuangjie Peng and Wei Shuai: Existence and asymptotic behavior of  nodal solutions for the Kirchhoff-type problems in R^3, J. Funct. Anal., 269(2015), 3500-3527.

61. Shuanjie Peng and Jing Yang: Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Mazya term,  Acta Math. Sinica, 31(2015), 893-912.  

60.Shuangjie Peng and Chunhua Wang: Infinitely many solutions for a Hardy-Sobolev equation involving critical growth, Math. Methods Appl. Sci., 38(2015), 197-220.

59. Daomin Cao, Shuangjie Peng and Shusen Yan: Planar vortex patch problem in incompressible steady flow, Advances in Mathematics, 270(2015), 263-301.

58. Yi Li and Shuangjie Peng: Multi-peak solutions to two types of free boundary problems, Calc. Var.Partial Differential Equations, 54(2015), 893-912.

57. Yinbin Deng, Shuangjie Peng and Shusen Yan: Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth, J. Differential Equations, 258(2015), 115-147. 

56. Shuangjie Peng and Huirong Pi: Boundary concentrating solutions for a Henon-like equation, Proc. Roy.  Soc. Edinburgh Sect. A, 145(2015), 175-201.

55. Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal soliton solutions for generalized quasilinear Schrodinger equations, J. Math. Phys., 55(2014), 051501,16pp.  

54. Wei Long and Shuangjie Peng: segregated vector solutions for a class of Bose-Einste in systems,J. Differential Equations, 257(2014),207-230.

53. Chang-Shou Lin and Shuangjie Peng: Segregated  vector solutions for linearly coupled nonlinear Schrodinger systems, Indiana Univ. Math. J., 63(2014), 939-967.

52. Yi He, Gongbao Li and Shuangjie Peng: Concentrating bound states for Kirchhoff type problems in R^3 involving critical Sobolev exponents, Adv. Nonlin.Studies, 14(2014), 441-468.

51. Yinbin Deng, Shuangjie Peng and Huirong Pi: Bound states with clustered peaks for nonlinear Schrodinger equations with compactly supported potentials, Adv. Nonlin.Studies, 14(2014), 421-439.

50. Shuangjie Peng and Yanfang Peng: Least energy sign-changing solutions  for a singular elliptic equation in lower dimensions, Comm. Contem. Math.,  16(2014), no.4, 1350048, 16pp

49. Yinbin Deng, Shuangjie Peng and Li Wang: Infinitely many radial solutions to elliptic system involving critical exponents, Discrete Contin. Dyn. Syst., 34(2014), 461-475.

48. Daomin Cao, Shuangjie Peng and Shusen Yan:  On the Webster scalar curvature problem on the CR sphere  with  a cylindrical-type symmetry,  J. Geom.  Anal.,  23(2013), 1674-1702.

47. Yinbin Deng, Shuangjie Peng and Jixiu Wang: Nodal soliton solutions for quasilinear Schrodinger equations with critical exponent,  J. Math. Phys. 54(2013), no.1, 011504, 28pp.

46. Shuangjie Peng and Zhi-Qiang Wang: Segregated and synchronized vector solutions for nonlinear Schrodinger systems, Arch. Ration. Mech. Anal., 208(2013), 305-339.
 
45. Daomin Cao and Shuangjie Peng:Concentration of solutions for the Yamabe problem on half-spaces,Proc. Roy. Soc. Edinburgh Sect. A, 143(2013), 73-99.

44. Dongsheng Kang and Shuangjie Peng: Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials, Sci. China Math, 55 No.10 (2012)，2027-2044.

43. Yinbin Deng,  Lingyu Jin  and  Shuangjie Peng: Solutions of  Schrodinger equations with inverse square potential and critical nonlinearity, J. Differential Equations, 253(2012), 1376-1398.

42. Daomin Cao, Shuangjie Peng and Shusen Yan: Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth, J. Funct. Anal.,  262(2012), 2861-2902.

41. Yinbin Deng, Shuangjie Peng and Li Wang: Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent, Discrete Contin. Dyn. Syst., 32(2012),795-826.

40.Gongbao Li, Shuangjie Peng and Chunhua Wang: Infinitely many solutions for  nonlinear Schr\"{o}dinger equations with electromagnetic fields, J. Differential Equations, 251(2011), 3500-3521.

39. Gongbao Li, Shuangjie Peng and Chunhua Wang: Multi-bump solutions for the nonlinear Schr\"{o}dinger-Poisson system, J. Math. Phys. 52(2011), no.5, 053505, 19 pp.

38. Yinbing Deng, Shuangjie Peng and Jixiu wang: Infinitely many sign-changing solutions for quasilinear Schrodinger equations in R^N,Commun. Math.Sci. 9(2011), 859-878.

37.Dongsheng Kang  and Shuangjie Peng: Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents, Sci.China Math, 54(2011), 243-256.

36. Yi Li and Shuangjie Peng: Multiple solutions for an elliptic problem related to vortex pairs,J. Differential Equations, 250(2011), 3448-3472.

35. Daomin Cao, Shuangjie Peng and Shusen Yan: Multiplicity of  solutions for the plasma problem in two dimensions, Adv. Math., 225(2010), 2741-2785.

34. Na Ba, Yinbin Deng and Shuangjie Peng: Multi-peak bound states  for Schrodinger equations with compactly supported or unbounded potentials, Ann. Inst. H. Poincaré Anal. Non Linéaire 27(2010), 1205-1226.

33. Thomas Bartsch and  Shuangjie Peng:Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic  equations II, J. Differential Equations, 248(2010), 2746-2767.

32. Gongbao Li, Shuangjie Peng and Shusen Yan: Infinitely many positive solutions for the nonlinear Schrodinger-Poisson system, Comm. Contem. Math., 12(2010), 1069-1092.

31. Shuangjie Peng and Jing Zhou, Concentration of solutions for a Paneitz type problem, Discrete  Contin. Dyn.  Syst., 26（2010）1055-1072.

30. Daomin Cao and Shuangjie Peng, Semi-classical bound states for Schrodinger equations with potentials vanishing or unbounded  at infinity, Comm. Partial  Differential  Equations,34(2009),1566-1591.

29. Bingyu Kou and Shuangjie Peng, Quasilinear elliptic equations with Neumann boundary and singularity, Acta Math. Appl. Sin., 25 (2009)

28. Shujuan Li and Shuangjie Peng, Asymptotic behavior on the Henon equation with supercritical exponent, Sci. China, 52(2009), 2185-2194.

27. Daomin Cao, Shuangjie Peng and Shusen Yan, Asymptotic behavior of ground state solutions for the Henon equation, IMA J. Appl. Math.,74(2009), 468-480.

26. Daomin Cao and Shuangjie Peng, Solutions for the prescribing  mean curvature equation, Acta Math. Appl. Sin., 24(2008),497-510.

25. Yinbin Deng, Lingyu Jin and Shuangjie Peng: Positive solutions for elliptic equations related to the Caffarelli-Kohn-Nirenberg   inequalities, Comm. Contem. Math., 11(2009), 185-199.

24.Thomas Bartsch and  Shuangjie Peng : Solutions concentrating on higher dimensional subsets for singularly perturbed elliptic equations I, Indiana Univ.Math. J.  57(2008),1599-1632.

23.Gongbao Li and Shuangjie Peng: Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg  inequalities, Proc. Amer.   Math. Soc.. 136(2008),1221-1228.

22.Thomas Bartsch,  Shuangjie Peng and Zhitao Zhang: Existence and non-existence of solutions to ellipticm equations related to the Caffarelli-Kohn-Nirenberg inequalities,  Calc. Var. Partial Differential Equations 30(2007),113-136.

21. Yinbin Deng, Lingyu Jin and Shuangjie Peng: A Robin boundary problem with Hardy potential and critical nonlinearities, Journal  d'Analyse Mathematique, 104(2008), 125-154.

20.Gongbao Li, Shuangjie Peng and Shusen Yan: A new type of solutions  for a singularly perturbed elliptic Neumann problem, Revista Mat. Iberoa.,23(2007),1039-1066.

19.Dongsheng Kang and Shuangjie Peng: Singular elliptic problems in  with critical Sobolev–Hardy exponents, Nonlin. Analysis, TMA, 68(2008), 1332-1345.

18. Thomas Bartsch and Shuangjie Peng: Semiclassical symmetric  Schrodinger equations:existence of solutions concentrating   simultaneously on several spheres, Zeit. Angew. Math. Phys.,58(2007), 778-804.

17. Daomin Cao and Shuangjie Peng: Multi-bump bound states of Schrodinger equations with a critical frequency, Math. Ann., 336(2006):925-948.

16.Thomas Bartsch, E.Norman Dancer and Shuangjie Peng: On multibump semi-classical bound states of nonlinear Schrodinger equations with electromagnetic fields, Adv. Diff. Equations, 7 (2006), 781-812.

15. Wenliang Gao and Shuangjie Peng, An elliptic equation with  combined critical Sobolev-Hardy terms,Nonlinear Analysis, TMA,65(2006), 1595-1612.

14. Daomin Cao and Shuangjie Peng: Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev  growth, Annali di Mathematica Pura ed Applicata, 185(2006), 189-205.

13. Shuangjie Peng: Multiple boundary concentrating solutions to Dirichlet problem of Henon equation,Acta Mathematicate Applicate Sinica, 22(2006), 137-162.

12. Shuangjie Peng: Remarks on singular critical growth elliptic equation, Discrete Contin.Dyn. Syst., 14(2006),707-719.

11. Daomin Cao, Xiaoming He and Shuangjie Peng: Positive solutions for some singular critical growth nonlinear elliptic equations,Nonlinear Analysis TMA, 60(2005), 589-609.

10. Dongsheng Kang and Shuangjie Peng: Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy  potential, Applied Math. Letter, 18(2005), 1094-1100.

9. Dongsheng Kang and Shuangjie Peng: Multiple solutions for elliptic problems with critical Sobolev-Hardy exponents. Israel Mathematical Journal, 143(2004), 281-297.

8. Dongsheng Kang and Shuangjie Peng: Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents, Nonlinear Analysis TMA., 56 (2004), 1151--1164.

7. Dongsheng Kang and Shuangjie Peng: Sign-changing solutions for  elliptic problems with critical Sobolev-Hardy exponents. Jour. Math. Anal. Appl., 291 (2004), 488—499.

6. Shuangjie Peng: Uniqueness of the symmetric single peak solutions to Neumann problem with critical Sobolev exponent, Nonlinear Analysis, TMA., 56(2004),19-42.

5. Dongsheng Kang and Shuangjie Peng: Positive solutions of singular elliptic equations, Applied Math.Letter, 17(2004), 411-416.

4. Daomin Cao and Shuangjie Peng: A note on the sign-changing solutions to elliptic problems with  critical Sobolev exponent and  Hardy terms, J. Differential Equations, 193(2003), 424-434.

3. Daomin Cao and Shuangjie Peng:  A global compactness result for singular elliptic problems involving critical Sobolev exponent,   Proc.Amer.Math.Soc., 131(2003), 1857-1866.

2. Daomin Cao and Shuangjie Peng: The asymptotic behavior of the ground state solutions for Henon equation, Jour. Math. Anal. Appl.,278(2003), 1-17

1.Yinbin Deng and Shuangjie Peng: Existence of multiple positive solutions for inhomogeneous Neumann problem, Jour. Math. Anal. Appl.,271(2002). 155-174.

研究项目

1.国家重点研发计划项目“椭圆型方程解的量化及相关性态的研究”（2023YFA1010000），2023，12-2028，11，主持人

2.国家自然科学基金重点项目：非光滑变分理论及其在椭圆型偏微分方程研究中的应用（11831009），2019,01-2023,12，主持人

3.教育部创新团队(滚动支持)：非线性偏微分方程， 2018,01-2020，12，主持人

4.国家自然科学基金专项基金项目（天元）：p-Grushin算子及其方程的研究（1172633）,2018,01-2018,12，主持人

5.国家自然科学基金面上项目：椭圆型方程解的存在性及解的局部唯一性的研究(11571130), 2016，01-2019，12，主持人

6.国家杰出青年科学基金：非线性泛函分析（11125101）,  2012,01-2015,12， 主持人

7.湖北省重大人才工程“高端人才引领培养计划”，2012-2016，主持人

8.教育部创新团队: 非线性偏微分方程， 2013-2015， 核心成员

9.教育部博士点基金：椭圆型偏微分方程中典型问题的研究（20110144110001),2012,01-2014,12，主持人

10.国家自然科学基金:非线性薛定锷方程和自由边值问题中的典型问题（11071092),2011，01-2013， 12, 主持人

11.华中师范大学中央高校科研基本业务费（国家重大科研项目培育项目）：非线性偏微分方程中的典型问题（CCNU09c01007），2009，12-2012，12， 主持人

12.2007年教育部新世纪优秀人才支持计划(NCET-07-0350),2008,01-2010,12, 主持人

13.国家自然科学基金重点项目: “非线性椭圆与抛物方程的理论及其应用研究”（10631030）, 2007，01-2010，12,核心成员

14.湖北省自然科学基金计划创新群体项目:“非线性偏微分方程的若干问题的研究”,2008,01-2009,12,核心成员

15.教育部科学技术重点项目：关于带电磁场的薛定谔方程的研究(107081)，2007，01-2009，12， 主持人

16.国家自然科学基金: 非线性椭圆方程与障碍问题(10571069),2006,01—2008,12.排序二

17.教育部留学归国人员科研启动基金:奇异椭圆型偏微分方程的研究, 2008,01-2010,12主持人

18.湖北省高校青年教师科技创新团队：“受限流体混合物的浸润与吸附研究” 2004,01—2006,12, 骨干

19.湖北省教育厅科研项目: 变系数椭圆偏微分方程的研(2004D004), 2004,01-2006,12. 主持人

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