半线性椭圆方程的多解存在性

摘要

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.%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.