Existence of ground state solutions for Kirchhoff-type problems involving critical Sobolev exponents

被引：6

作者：

Fan, Haining ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 01期

关键词：

critical Sobolev exponent; ground state solutions; nehari manifold; nonlocal problems; unbounded domain; POSITIVE SOLUTIONS; CONCENTRATION BEHAVIOR; EQUATION;

D O I：

10.1002/mma.4620

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of ground state solutions for a Kirchhoff-type problem in R3 involving critical Sobolev exponent. With the help of Nehari manifold and the concentration-compactness principle, we prove that problem admits at least one ground state solution.

引用

页码：371 / 385

页数：15

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