77779193永利(集团)有限公司官网

个人简介

罗鹏，华中师范大学教授、博士生导师。本科毕业于华中师范大学，博士毕业于武汉大学，研究方向为非线性泛函分析、偏微分方程。主要成果发表于J. Eur. Math. Soc.、Trans. Amer. Math. Soc.、J. Math. Pures Appl.、Indiana Univ. Math. J.、J. Funct. Anal.等学术期刊。

开设课程

数学分析、高等代数与解析几何、泛函分析、变分方法、二阶椭圆方程、非线性偏微分方程

研究方向

非线性泛函分析、椭圆型偏微分方程

教育经历

2005.09-2009.06  华中师范大学  学士学位
2009.09-2014.06  武汉大学         博士学位

工作经历

2014.07-2016.06  中国科学院数学与系统科学研究院 博士后
2016.07-2022.06  华中师范大学                         副教授
2022.07-至今        华中师范大学                         教授、博导

研究成果

一、	近5年内发表的代表性论著

(1) Francesca Gladiali; Massimo Grossi; Peng Luo; Shusen Yan; Qualitative analysis on the critical points of the Robin function, Accepted by Journal of the European Mathematical Society, 2022  

(2) Daomin Cao; Peng Luo; Shuangjie Peng; The number of positive solutions to the Brezis-Nirenberg problem, Transactions of the American Mathematical Society, 2021, 374(3): 1947-1985

(3) Massimo Grossi; Isabella Ianni; Peng Luo; Shusen Yan; Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two, Journal deMathématiques Pures et Appliquées, 2022, 157: 145-210

(4) Peng Luo; Kefan Pan; Shuangjie Peng; Yang Zhou; Local uniqueness of concentrated solutions and some applications on nonlinear Schrodinger equations with very degenerate potentials, Journal of Functional Analysis, 2023, 284

(5) Massimo Grossi; Peng Luo; Critical points of positive solutions of nonlinear elliptic equations: multiplicity, location and non-degeneracy, Indiana University Mathematics Journal, 2023, 71(2): 821-871

二、	已发表的其余论著：

(1) Hua Chen; Peng Luo; Shuying Tian; Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation, Journal de Mathématiques Pures et Appliquées, 2015, 103(4): 849-867

(2) Peng Luo; Zhongwei Tang; Huafei Xie; Qualitative analysis to an eigenvalue problem of the Hénon equation, Journal of Functional Analysis, 2024, 286(2): 110206

(3) Qing Guo; Peng Luo; Chunhua Wang; Jing Yang; Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system, The Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023, 24(2): 879-925

(4) Peng Luo; Shuangjie Peng; Yang Zhou; On the prescribed scalar curvature problem with very degenerate prescribed functions, Calculus of Variations and Partial Differential Equations, 2023, 62(3) 

(5) Zhongyuan Liu; Peng Luo; Huafei Xie; Qualitative analysis of single peaked solutions for the supercritical Hénon problem, Calculus of Variations and Partial Differential Equations, 2022, 61(5)

(6) Hua Chen; Peng Luo; The spectral gap to torsion problem for some non-convex domains, Calculus of Variations and Partial Differential Equations, 2021, 60(6)

(7) Peng Luo; Shuangjie Peng; Juncheng Wei; Shusen Yan; Excited states of Bose-Einstein condensates with degenerate attractive interactions, Calculus of Variations and Partial Differential Equations, 2021, 60(4)

(8) Peng Luo; Shuangjie Peng; Chunhua Wang; Uniqueness of positive solutions with concentration for the Schrodinger-Newton problem, Calculus of Variations and Partial Differential Equations, 2020, 59(2)

(9) Daomin Cao; Shuanglong Li; Peng Luo; Uniqueness of positive bound states with multi-bump for nonlinear Schrodinger equations, Calculus of Variations and Partial Differential Equations, 2015, 54(4): 4037-4063

(10) Hua Chen; Peng Luo; Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators, Calculus of Variations and Partial Differential Equations, 2015, 54(3): 2831-2852

研究项目

主持或完成基金委青年项目、面上项目，参与基金委重点项目、科技部重点研发项目等。

附件

罗鹏

English Version (英文版)