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

本文在参数的不同范围及给定假设下利用Ekeland变分原理、山路引理、集中紧性原理和一些分析技巧得到了全空间上具有临界指数的非线性项和非齐次扰动项的Kirchhoff类方程两个正解的存在性.

Under the suitable ranges of parameters and given assumptions and by using Ekeland varia- tions principle, Mountain Pass Lemma, concentration compactness lemma and some analysis techniques, Kirchhoff-type equations with critical exponents and nonhomogeneous perturbation nonlinearities in R3 are studied. Existence results of two positive solutions are obtained.