基于Nehari 流形的一类椭圆系统解的存在性

Existence of nontrivial solutions for a class of elliptic system based on Nehari manifold

摘要: 研究一类具有齐次非线性项椭圆系统解的存在性与多解性.在非线性项适当的假设条件下,应用Nehari 流形和极大极小方法,获得了一个解的存在性结果和一个多解性结果.

Abstract: We study the existence and multiplicity of nontrivial solutions for a class of p-Laplacian elliptic system involving homogeneous nonlinearities.Under the adequate hypotheses conditions about the nonlinearity term,some new existence and multiple results of nontrivial solutions are obtained by means of minimax methods and Nehari manifold.