摘要
本文考虑具有凹凸非线性和临界Sobolev指数的半线性椭圆方程的正解和多重解(可能非正)的存在性.
In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent.
出处
《数学进展》
CSCD
北大核心
2002年第4期343-354,共12页
Advances in Mathematics(China)
基金
NSFC and NSF of Fujian.Partially supported by Postdoctor Fundation of Guangdong Province.
关键词
存在性
半线性椭圆方程
凹凸非线性
临界SOBOLEV指数
正解
多重性
semilinear elliptic equation
convex and concave nonlinearities
critical Sobolev exponent
positive solutions
multiple solutions