Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

Advances in Nonlinear Analysis

article

Chun-Yu Lei¹  Jia-Feng Liao² 

[1] School of Sciences, GuiZhou Minzu University;College of Mathematics Education, China West Normal University

关键词: Singular elliptic equation;    critical growth;    radial symmetry;    critical point theory for nonsmooth functionals;    moving plane method;   

DOI  :  10.1515/anona-2020-0174

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties of the solutions are proved by the moving plane method. Our results improve the corresponding results in the literature.

【 授权许可】

CC BY