太原理工大学学报2017，Vol.48Issue(5)：866-871,6.DOI:10.16355/j.cnki.issn1007-9432tyut.2017.05.028
带有临界指数的p-Kirchhoff型方程的非平凡解
Nontrivial Solution of p-Kirchhoff Type Equation with Critical Exponent
摘要
Abstract
This article is concerned with the existence of nontrivial solutions for p-Kirchhoff type equation with critical exponent in RN via variational methods.First,it was proved that the energy functional possesses a bounded (PS)C sequence.Second,it was demonstrated that the (PS)C sequence contains convergent subsequence by using concentration compactness principle. Therefore,the problem has one nontrivial solution.关键词
变分方法/p-Kirchhoff型方程/非平凡解/集中紧性原理Key words
variational methods/p-Kirchhoff type equation/nontrivial solution/concentra-tion-compactness principle分类
数理科学引用本文复制引用
刘永利,张建明,王淑丽,郭祖记..带有临界指数的p-Kirchhoff型方程的非平凡解[J].太原理工大学学报,2017,48(5):866-871,6.基金项目
国家自然科学基金资助项目(51278325) （51278325）
