非线性项含临界指数的p-Laplace方程的解的存在性

EXISTENCE OF INFINITELY MANY SOLUTIONS FOR P-LAPLACE PROBLEM WITH CRITICAL EXPONENTIAL GROWTH

证明了当λ>0时p -LaplaceDirichlet问题-div (| u| p - 2 u) =λ|u| q - 2 u + |u| p - 2 u ,u∈W1.p0 (Ω)无穷多解的存在性 ,其中Ω是RN 中的有界域 ,1<q<p ,p =Np/ (N -p)

The existence of infinitely many solutions of the problem with critical exponential growth via the dual fountain theorem has verified.