师资队伍
教授
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  • 姓名邓引斌
  • 职称教授
  • 办公室六号楼M511
  • 邮箱ybdeng@mail.ccnu.edu.cn
个人简介 Brief Introduction
1956年生于湖北天门,1982年元月获华中师范大学学士学位,1988年7月获中国科学院应用数学研究所硕士学位,2001年5月获武汉大学博士学位。1982年以来,一直在华中师范大学从事教学科研工作,1993年元月被华中师范大学特聘为正教授,2002年被聘为博士生指导教师,2007年被聘为华中师范大学二级教授。曾任华中师范大学数学与统计学学院院长(原数学系系主任)、中国数学会理事,湖北省数学会副理事长、《数学通讯》杂志主编、现任数统学院学术委员会主任、《数学物理学报》常务编委。主要从事非线性偏微分方程及其应用等领域的研究,特别是对含临界增长的半线性椭圆方程, P-laplace 方程, 双调和方程的解的存在性与非存在性, 多解性及其分支现象作了系统的研究。同时, 还对天体物理中的Emolen-Fowler方程和Euler-Possion方程的解的存在性及解的性态进行了探讨。目前正主持国家自然科学基金项目的研究。近几年来,曾1次主次国家自然科学基金重点项目、5次主持国家自然科学基金面上项目,一次主持国家自然科学基金天元基金项目,三次主持国家教育部各类基金(包括优秀年轻教师基金和高等学校骨干教师基金)的研究。多次应邀出访美国、澳大利亚、香港、瑞士、中科院等重要的国家和地区。发表论文近90多篇,其中有8篇发表在国际知名杂志“Archive for Rational Mech. and Analysis”和“J. Diff. Equats.”“Commu. In PDE”上,70多篇被录入SCI国际重要检索系统。与人合作出版教材一部。与中国科学院物理与数学研究所合作研究的系列成果“非线性椭圆问题的多解及其形态研究”于2000年获湖北是自然科学二等奖。主持研究的科研成果“半线性椭圆问题的多解及其分支”于1989年获国家教育部科技进步三等奖。2001年获教育部优秀骨干教师奖。2009年获国家双语教学示范课建设项目资助,2010年元月,系列成果“非线性椭圆型与抛物型偏微分方程若干问题的研究” 获教育部自然科学二等奖。
开设课程 Courses
研究方向 Research Interests 
非线性椭圆方程与抛物方程
教育经历 Education Experience
1982年元月获华中师范大学学士学位
1988年7月获中国科学院应用数学研究所硕士学位
2001年5月获武汉大学博士学位
工作经历 Work Experience
1982年以来,一直在华中师范大学从事教学科研工作
1993年元月被华中师范大学特聘为正教授
2002年被聘为博士生指导教师
2007年被聘为华中师范大学二级教授。
曾任华中师范大学数学与统计学学院院长(原数学系系主任)、中国数学会理事,湖北省数学会副理事长、《数学通讯》杂志主编
现任数统学院学术委员会主任、《数学物理学报》常务编委。
研究成果 Research Results
待发表的论文
[1] Yinbin Deng, Yi Li and Wei Shuai, Existence of solutions for a class of p-Laplacian type equation with critical growth and potential vanishing at infinity, Submited to DCDS-A.
[2] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents, Submined to Advance PDE.
[3] Yinbin Deng, Yujing Guo and Lu Lu, Energy Minimizers of Bose-Einstein Condensates with Inhomogeneous Attractive Interactions, preprint
[4] Yinbin Deng and Wei Shuai, Nontrivial solutions for a semilinear biharmonic problem with critical growth and potential vanishing at infinity, accepted for publication in Proc. A, Royal Society of Edinburgh.
[5] Yinbin Deng, Yi Li and Xiujian Yan, Nodal solutions for a quasilinear Schrodinger equation with critical nonlinearity and non-square diffusion, Accepted for publication in CPMA.
[6] Yinbin Deng and Wei Shuai, Positive solutions for a quasilinear Schrodinger equation with critical growth and potential vanishing at infinity, Commu. Pure Appl. Anal. 13(2014), no 6, 2273-2287.
[7] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for generalized quasilinear Schrodinger equations, J. Math. Phys. 55, 051501 (2014).
[8] Yinbin Deng, Yujing Guo and Lu Lu, On the Collapse and Concentration of Bose-Einstein Condensates with Inhomogeneous Attractive Interactions, Accepted for publication in CVPDE.
[9] Yinbin Deng, Shuangjie Peng and Shusen Yan, Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth, Accepted for publication in JDE.
2011-2014年发表的论文
[1] Yinbin Deng, Shuangjie Peng and Li Wang, Infinitely many radial solutions to elliptic systems involving critical exponents. Discrete Contin. Dyn. Syst.34 (2014), no. 2, 461–475.
[2] Yinbin Deng, Shuangjie Peng and Huirong Pi, Bound States with Clustered Peaks for Nonlinear Schrodinger Equations with Compactly Supported Potentials, Advanced Nonlinear Studies (14) (2014), 421—439
[3] Yinbin Deng, Shuangjie Peng and Jixiu Wang, Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent, J. Math. Phys. 54(2013), doi 011504.
[4] Yinbin Deng, Yi Li, Fen Yang, On the positive radial solutions of a class of singular semilinear elliptic equations, J. Differential Equations, 253(2012) 481-501.
[5] (Sci) Yinbin Deng, Shuangjie Peng and Li Wang, Existence of multiple solutions for a nonhomogeneous semilinear elliptic equation involving critical exponent, Discreate and continuous Dynamical Systems, 32(3) (2012), 795-826.
[6] Yinbin Deng, Linyu Jin and Shuangjie Peng, Solutions of Schrodinger Equations with Inverse Square Potential and Critical Nonlinearity, J. Differential Equations, 253(2012) 1376-1398.
[7] (Sci) Yinbin Deng, Shuangjie Peng and Jixiu Wang, Infinitely many sign-changing solutions for quasilinear Schrodinger equations in R^N, Commun. Math. Sci. Vol.9, No. 3, pp.859-878,(2011).
[8] (Sci) Yinbin Deng and Jixiu Wang, Critical exponents and critical dimensions for quasilinear elliptic problems, Nonlinear Analysis TMA, 74 (2011) 3458-3467.
2010年发表的论著
[1] (Sci) Lingyu Jin and Yinbin Deng, A Global Compact Result for a Semilinear Elliptic Problem with Hardy Potential and Critical Nonlinearities on R^N, Science China Series A 53(2) (2010) 385--400.
[2] (Sci) Yinbin Deng, Na Ba and Huazhao, Xie, STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE, Acta Math. Sci. 30B (2010) 1347-1356.
[3] (Sci) Na Ba, Yinbin Deng and Shuangjie Peng, Multi-peak Bound States for Schrdinger Equations with Compactly Supported or Unbounded Potentials,Ann. I. H. Poincare-AN 27 (2010) 1205-1226.
[4] (Sci) Yinbin Deng and Huazhao Xie, Multiple stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars, Acta Math. Sci. 30B (6) (2010), 2077-2088.
[5] 邓引斌,李渺,高校本科生数学双语学习现状的调查研究,数学教育学报,19(6)(2010)p42-44
2009年发表的论著
[1] (SCI) Yinbin Deng, Lingyu Jin and Shuanjie Peng, The Existence of Nontrivial Solutions for an Elliptic Equations Relating to the Caffarelli-Kohn-Nirenberg Inequalities. Communications in Contemporary Mathematics 11(2) (2009), 1-14
[2] (SCI) Yinbin Deng, Yi Li and Fen Yang, A note on the positive solutions of an inhomogeneous elliptic Equation on R^N. J. Diff. Equations, 246 (2009), 670-680.
[3] (SCI) Yinbin Deng and Qi Gao, The asymptotic behavior of the positive solutions for a semilinear elliptic equation with Hardy term, Discrete and continuous Dynamical Systems - Series A 24(2)(2009),367-380.
[4] (Sci)Yinbin Deng and Huirong Pi, Multiple Solutions for $p$-Harmonic Type Equations.Nonlinear Analysis: Theory, Methods & Applications,71(10), (2009), 4952-4959
[5] (SCI) Yinbin Deng and Jixiu Wang, Nonexistence of Radical Node Solutions for Elliptic Problems with Critical Sobolev Exponents, Nonlinear Analysis: Theory, Methods & Applications, 71( 1-2),(2009),172-178
[6] (SCI) Yinbin Deng and Yi Li, Regularity of the solutions for nonlinear biharmonic equations in $\R^N$, Acta Math. Sci. 29B(5) 2009 1469-1480.
[7] 金玲玉,邓引斌, 无界域上带Hardy项和临界非线性项的半线性椭圆 问题的全局紧性结果,中国科学A辑39(7)(2009)840-854.
2008年发表的论著
[1] (SCI)Yinbin Dengand Fen Yang, Existence and Asymptotic Behavior of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation, Nonlinear Analysis TMA., 68(2008) 246-272.
[2](Sci) Yinbin Dengand Fen Yang, On the Stability of the Positive Radical Steady States for a Semilinear Cauchy Problem involving critical exponents,Acta Math. Sci. 28 B(2) 348-354 (2008) .
[3] (Sci)Yinbin DengYan Gao and Jianlin Xiang, Solutions of Euler-Poisson Equations in $R^n$, Acta Math. Sci. 28 B(1), 24-42 (2008),.
[4]. (SCI)Yinbin Deng, Yujing Guo and Yi Li, Existence and Decay Properties of Positive Solutions for an Inhomogeneous Semilinear Elliptic Equation. Proceedings of the Royal Society of Edinburgh, 138A 301-322 (2008).
[5].(SCI) Yinbin Deng, Li Wang, Solutions for a class of singular nonlinear boundary value problem involving critical exponent, Acta Mathematicae Applicatae Sinica 24(3), 453-472 (2008)
[6]. (SCI)Yinbin Deng, Lingyu Jin and Shuanjie Peng, A Robin Boundary Problem with Hardy Potential and Critical Nonlinearities. Journal d'Analyse Mathematique. 104,125-154,(2008).
[7](SCI)Yinbin Deng andLingyu Jin, Exponential Decay of the Solutions for Nonlinear Multiharmonic Equations, Nonli. Anal. TMA., 69, 1953-1965 , (2008).
[8](SCI)Yinbin Deng,Qi Gao andLingyu Jin, On the Existence of Nontrivial Solutions for p- Harmonic Equations on Unbounded Domains. Nonli. Anal. TMA.69(12), 4713-4731, (2008)
2007年发表的论著
[1] (Sci)Yinbin Deng and Yujin Guo, Multiple Positive Solutions for an Inhomogeneous Semilinear Problem in Exterior Domains, Nonlinear Analysis,TMA. 66 (2007), 1388-1409. Available online at www.sciencedirect.com
[2] (Sci) Yinbin Dengand Lingyu Jin, On Symmetric Solutions of a Singular Elliptic Equation with Critical Sobolev-Hardy Exponent, J. Math. Anal. Appl. 329 ( 2007), 603-616.
[3] (SCI) Yinbin Deng, Qi Gao and Dandan Zhang, Nodal Solutions for Laplace Equations with Critical Sobolev and Hardy Exponents on R^N. Discrete and continuous Dynamical Systems - Series A,19(1)(2007),211-233.
[4] (Sci)Yinbin Deng and Lingyu Jin, Multiple Positive Solutions for a Quasilinear Nonhomogeneous Neumann Problems with Critical Hardy Exponents Nonlinear Anal. TMA. 67(12) (2007),3261-3275.
[5](SCI)Yinbin Dengand Yi Li, Exponential decay of the solutions for nonlinear biharmonic equations,Communications in Contemporary Mathematic,9(5) 753-768(2007)http://www.worldscinet.com/ccm/09/0905/S02191997070905.html
2006年发表的论著
[1] (Sci)Yinbin Deng and Tong Yang, Multiplicity of Stationary Solutions to the Euler-Poisson Equations, J. Diff. Equations, 231 (2006), 252-289.
[2](Sci) Yinbin Deng, Yi Li and Fen Yang , On the Stability of the Positive Steady States for a Nonhomogeneous Semilinear Cauchy Problem, J. Diff. Equations. Vol 228 (2006), 507-529.
[3](Sci) Yinbin Deng and Yi Li, Branches of solutions to semilinear biharmonic equations on $\R^{N}$, Proceedings of the Royal Society of Edinburgh, Vol 136 (3), (2006) 733-758.
2005年发表的论著
[1] (Sci) Dongsheng Kang and Yinbin Deng, Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev Hardy exponents, Nonlinear analysis TMA 60 (2005), 729-753.
[2] (Sci)Yinbin Deng, Y. M. Ma and Xuejing Zhao, Existence and Properties of Positive Solutions for Semilinear Equations with Critical Exponent in RN, Rocky Mountain Mathematics Journal of Mathematics, 35(5) , (2005). 1479—1512
[3] Yisheng Lai, Yuanguo Zhu and Yinbin Deng, Fixed point index approach for solutions of variational inequalities. International Journal of Matiematics and Mathematical Sciences, 2005(12), (2005) 1879-1887.
[4] 朱长江,邓引斌,《偏微分方程讲义》,科学出版社,(2005)
[5] 邓引斌,高琦 非齐次p-调和方程。华中师范大学学报自然科学版(2005)
2003年发表的论著
[1] (Sci)Deng Yinbin, Yi Li, Yi Liu, On the stability of the positive radial steady states for a semilinear Cauchy problem, Nonlinear Analysis, 54(2003), 291-318.
[2](SciE)Deng Yinbin, LiYi, Zhao Xunjin, Multiple solutions for an inhomogeneous semilinear elliptic equation in RN,Acta Math. Sci., Ser. B, 23(1)(2003), 1-15.
[3]Kang Dongsheng, Deng Yinbin, Sobolev-Hardy inequalities and some critical biharmonic problems. (Chinese), Acta Math. Sci., Ser. A, 23(1)(2003), 106-114.
[4](Sci)Yinbin Deng,Zhenhua Guo and Gengsheng Wang,Nodal solutions for p-Laplace equations with critical growth,Nonlinear Analysis TMA 54(2003)1121-1151。
[5] (Sci) Dongsheng Kang and Yinbin Deng,Existence of solution for a singular critical elliptic equation,J. Math. Anal. Applications, 284 (2003) 724-732.
[6] (SciE)Yinbin Deng and Yujing Guo, Uniqueness of Stationary Solutions with Vacuum of Euler-Poisson Equations, Acta Math. Sci., Ser. B, 23(3) (2003),
[7] (Sci)Yinbin Deng, Xiang Jianlin and Tong Yang, Blowup phenomena of the solutions to Euler-Poisson equations, J. Math. Anal. Appl. 286 (2003)295-306.
[8] (SciE)Yisheng Lai, Yuanguo Zhu and Yinbin Deng, The Existence of nonzero solutions for a class of Variational Inequalities by index, Applied Mathematics Letters , 16 (2003), 839-845.
[9] 邓引斌,金玲玉,双调和算子的基本解,华中师范大学学报,37(3),(2003)273-276。 2002年以前发表的论文 Deng Yinbin, 超临界增长的半线性椭圆型边值问题无穷多解的存在性和波节性质,华中师范大学学报,1 (1989). Deng Yinbin, 临界增长的半线性椭圆型边值问题的无穷多解的存在性和波节性质, 华中师范大学学报,1 (1989). (SciE)Deng Yinbin, The existence and nodal character of the solutions in RN for semilinear elliptic equation involving critical Sobolev exponent, Acta Mathematica Sciencia, 9 (4) (1989),385-402. Deng Yinbin, Existence and the nodal property of infinitely many solutions to singular quasilinear boundary value problems,华中师范大学学报,23 (4)(1989),483-488( in Chinese). Deng Yinbin, Uniqueness of k-node solutions to a class of semilinear elliptic boundary value problems, 华中师范大学学报, 24 (2) (1990), 131-138 ( in Chinese). Deng Yinbin, 王光发, Uniqueness of k-node solutions to a class of nonlinear boundary value problems, 数学杂志, 10 (4) (1990), 451-458. (SciE) D. M. Cao, Deng Yinbin, On the existence and nodal character of solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 10(4) (1990), 471-478. (Sci)Deng Yinbin, On the superlinear Ambrosetti-Prodi problem involving critical Sobolev exponents, Nonlinear Analysis, TMA, 17(12) (1991), 1111-1124. 王光发,Deng Yinbin, Uniquness of nonnegative solutions to singular nonlinear boundary value problems, 华中师范大学学报, 25 (3) (1991), 261-266. (Sci) Deng Yinbin, H. S. Zhou, X. P. Zhu, On the existence and Lp(RN) bifurcation for the semilinear elliptic equation, Journal of Mathematical Analysis and Application, 154(1)(1991), 116-133. (SciE)Daoming. Cao,Deng Yinbin, On the existence and nodal character of the solutions of singular nonlinear boundary value problems, Acta Mathematica Scientia, 11 (4) (1991), 443-461. Huansong Zhou,Deng Yinbin, The Lp bifurcation problem for semlinear elliptic equations in striplike domains, 华中师范大学学报,25 (1)(1991), 1-7(in Chinese). 周焕松, Deng Yinbin, 带形区域上半线性椭圆方程的Lp分歧问题, 华中师范大学学报, 25(1) (1991). (Sci) Deng Yinbin,Existence and multiple positive solutions for a semilinear equation with critical exponent, Proceedings of the Royal Society of Edinburgh Series A, 122 (1-2) (1992),161-175. (Sci)Deng Yinbin, Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems involving critical exponents, Communication in Partial Differential Equations, 17(1-2)(1992), 33-53. Deng Yinbin,Uniqueness of k-node solutions to a class of semilinear elliptic equations in Rn, 数学物理学报, 12 (2)(1992), 140-149 (in Chinese). Deng Yinbin,Existence of multiple positive solutions for △u = λ u + u+ μf(x), Acta Mathematica Scientia, 9 (3) (1993), 311-320. Deng Yinbin, 周昌裕, First eigenvalue of elliptic operators, 华中师范大学学报, 27(3) (1993), 280-284 ( in Chinese). Deng Yinbin,D. M. Cao, Uniqueness of the positive solution for singular nonlinear boundary value problems, System Science and Mathematical Science, 6(1)(1993), 25-31. (SciE) Deng Yinbin, X.J. Wang, S. P. Wu , Neumann problems of semilinear elliptic equations with limit nonlinearity in boundary condition, Chinese Annals Math. SeriesB, 15(3)(1994). Y. G. Gu, Deng Yinbin, X. J. Wang, Existence of nontrivial solutions for critical semilinear biharmonic equations, System Science and Mathematical Science, 7 (2) (1994), 140-152. Deng Yinbin, J. F. Yang, Existence of multiple solutions and bifurcation for critical semilinear biharmonic equations, Systems Science and Mathematical Sciences, 8(4)(1995), 319-326. (Sci)X. J. Wang, Deng Yinbin, Existence of multiple solutions for nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Application, 189(1995), 617-630. (Sci)Deng Yinbin, and J. F. Yang, Existence of multiple solutions and nonlinear elliptic equations of nondivergence form, Journal of Mathematical Analysis and Applications,8(4)(1995), 319-326. (Ei)Deng Yinbin, The estimates of eigenvalues for Laplace operator,Lecture Notes in Pure and Applied Mathematics, 178(1996), 15-20. (Sci)Deng Yinbin, Y. Li, Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent, Journal of Differential Equations, 130(1)(1996), 179-200. Deng Yinbin, Y. Li, Existence of multiple positive solutions for a semilinear elliptic equation, Advance in Differential Equations, 2(3) (1997), 361-382. Y. D. Peng, Deng Yinbin, The existence of nontrival solutions of critical semilinear equations, Acta Mathematica Scientia, 17(4)(1997), 452-4659 (in Chinese). 郭真华, Deng Yinbin, -△u+u=Q(|x|)|u|p-1u的径向解结构, 华中师范大学学报, 31(3)(1997). Deng Yinbin,Wang Gengsheng, Optimal control problems some semilinear elliptic differential equations involving Sobolev critial exponent, Analele Stiintifice: Universitatea Ovidius Constanta, 6(1) (1998), 43-60. Deng Yinbin, Wang Gengsheng, Necessary conditions for optimal control problems governed by some nonlinear parabolic differential equations, Pan American Mathematical Journal, 8(4)(1998), 67-80. Ma Yaming, Peng, S.J., Deng Yinbin, Existence of multiple positive solutions of critical semilinear elliptic problems in RN, 华中师范大学学报, 32(1)(1998), 1-6. Zeng, X.Z., Deng Yinbin, Peng S.J., A barrier theorem for a biharmonic problem and its application, 华中师范大学学报, 32(4)(1998), 389-393 (in Chinese). (Sci)Deng Yinbin, Wang Gengsheng, Optimal control of some semilinear elliptic equations with critical exponent, Nonlinear Analysis,TMA , 36 (7) (1999), 915-922. (Sci) Deng Yinbin, Wang Gengsheng, On inhomogeneous bihomonic equations involving critical exponents,Proceedings of the Royal Society of Edinburgh, Sect A, 129 (5) (1999), 925-946. Ma Yaming, Deng Yinbin, Properties of solutions for a semilinear equation with critical exponent in RN, 华中师范大学学报,33(1)(1999), 16-19. (EI)Yi Liu, Yi Li, Deng Yinbin, Stability of a Semilinear Cauchy Problem, Proceeding of Nonlinear Partial Differential Equations. Wold Scientific Publishing, Edited by Hua Chen, 1999. 郭真华, Deng Yinbin, △2u=u+u+uf(x)的多解存在性, 数学物理学报, 19(2)(1999), 138-148. (Sci)Yi Liu, Yi Li, Deng Yinbin, Separation property of solutions for a semilinear elliptic equation, Journal of Differential Equations, 163(2)(2000), 381-406. (Ei)Deng Yinbin,Yi Li, Xuejin Zhao, Multiple solutions and bifurcation of nonhomogeneous semilinear elliptic equations in RN, Progress in Nonlinear Analysis(Tianjin,1999), 81-102 NanKai Ser. Pure Appl. Math.Theoret. Phys. 6, World Sci. Publishing, River Edge, NJ, 2000. Zeng Xianzhong, Deng Yinbin, Existence of multiple solutions for a semilinear biharmonic equation with critical exponent (Chinese),Acta Mathemaica Scientia, 20(4)(2000), 547-554. (SciE)Deng Yinbin,The opial inequality in RN, Acta Mathematica Scientia Series B, 21(4)(2001),572-576. (Sci) Deng Yinbin, Peng S. J., Existence of multiple positive solutions for inhomogeneous Neumann problem,Journal of Mathematical Analysis and Applications, 271(1)(2002), 155-174. (Sci) Deng Yinbin, Li Yi, On the existence of multiple positive solutions for a semilinear problem in exterior domains, Journal of Differential Equations, 181(1)(2002), 197-229.. (Sci)Deng Yinbin, Taiping Liu, Tong Yang, Solutions of Euler-Poisson equations for Gaseous stars, Archive for Rational Mechanics Analysis, 164 (3) (2002), 261-285. Kang Dongsheng, Zhao Zhanping, Deng Yinbin, 含临界指标的非齐次椭圆方程的解的存在性,华中师范大学学报,36 (2) (2002),133-137. Kang Dongsheng, Deng Yinbin,Existence of solutions for an elliptic equation with singular coefficients,应用数学,15(3)(2002), 8-12 ( in Chinese).
研究项目 Research Projects
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