全空间上具有临界指数的Kirchhoff类方程两个正解的存在性

Existence of two positive solutions for Kirchhoff type equations with critical exponents in whole space

摘要:

在参数的不同范围及给定一些假设下，用Ekeland变分原理、山路引理、集中紧性原理和一些分析技巧，研究了上具有临界指数的非线性项和非齐次扰动项的Kirchhoff类方程，得到了该方程两个正解的存在性结果.

Abstract:

Under the suitable ranges of parameters and given assumptions, by using Ekeland variations principle、mountain pass lemma、concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous perturbation nonlinearities in are studied. Moreover, existence results of two positive solutions are obtained.