中北大学学报（自然科学版）2017，Vol.38Issue(6)：597-603,7.DOI:10.3969/j.issn.1673-3193.2017.06.008
RN上一类p-Kirchhoff型方程正解的存在性
Existence of Positive Solutions for p-Kirchhoff Type Equationsin on RN
惠艳梅 1刘进生1
作者信息
- 1. 太原理工大学 数学学院,山西 太原 030024
- 折叠
摘要
Abstract
The existence of positive solutions for p-Kirchhoff type equations in RN with critical nonlinearities was in-vestigated by using variational methods under certain assumptions.Firstly,it was proved that the energy functional possessed mountain pass geometry and got a (PS)c sequence.Secondly,it was proved that the sequence was bound-ed and a upper bound of c was given.Finally,it was proved that the equation has at least a nontrivial solution and then illustrates the nontrivial solution was positive.关键词
p-Kirchhoff型方程/正解/变分方法/山路引理/集中紧性Key words
p-Kirchhoff type equation/positive solutions/variational methods/mountain pass theorem/concentrat-ed compactness分类
数理科学引用本文复制引用
惠艳梅,刘进生..RN上一类p-Kirchhoff型方程正解的存在性[J].中北大学学报（自然科学版）,2017,38(6):597-603,7.
