师资队伍

帅伟

学术背景:                                                                            

«2007.9-2011.6   湖北大学       数学与应用数学           理学学士

«2011.9-2016.6   华中师范大学      应用数学              理学博士

«2016.7--现在    华中师范大学      讲师

 

研究方向                                                                          

«非线性分析--非线性偏微分方程,非线性分析中的变分方法和拓扑方法

     研究成果                                                                          

  1.Y. B. DengandW. Shuai, Positive solutions for quasilinear SchrödingerEquations with critical growth and

           potential vanishing at infinity,Commun. Pure Appl. Anal 13 (2014)2273--2287.

       2.Y. B. DengandW. Shuai,Non-trivial solutions for a semilinear biharmonic problem with critical growth  

           and potential vanishing at infinity,Proc. Roy. Soc. Edinburgh Sect. A145 (2015) 281--299.

    3. W. Shuai,Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains,

         J. Differential Equations259 (2015) 1256--1274.  

    4.Y.B. Deng,L. LuandW. Shuai, Constraint minimizers of mass critical Hartree energy functional: existence

         and mass concentration,J. Math. Phys.56 (2015)    15pp.

    5.Y. B. Deng, S. J. PengandW. Shuai, Existence and asymptotic behavior of nodal             solutions for the

         Kirchhoff-type problems in \R^3, J. Funct. Anal.269 (2015)             3500--3527.

    6. W. Shuai and Q. F. Wang, Existence and asymptotic behavior of sign-changing             solutions for the nonlinear

        Schrodinger-Poisson system in \R^3, Z. Angew. Math. Phys.6 (2015) 3267--3282.  

7.Y. B. Deng,Y. Li and W. Shuai, Existence of solutions for a class of p-Laplacian type equation with critical

  growth and potential vanishing at infinity, Discrete Contin. Dyn. Syst. 36 (2016) 683--699.

    8. Y. He,L. Lu and W. Shuai,Concentrating ground-state solutions for a class of   Schrodinger-Poisson equations

       in R^3 involving critical Sobolev exponents,             Commun. Pure Appl. Anal.15 (2016)103--125.

   9. Y. B. Deng and W. Shuai, Existence and concentration behavior of sign-changing solutions for quasilinear

        Schrodinger equations,Sci. China Math.59 (2016)             1095--1112      .    

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