Ground state solutions to biharmonic equations involving critical nonlinearities and multiple singular potentials

被引：6

作者：

Kang, Dongsheng ^{[1
]}

Xiong, Ping ^{[1
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 66卷

关键词：

Biharmonic problem; Ground state solution; Rellich inequality; Variational method; OPERATOR;

D O I：

10.1016/j.aml.2016.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a biharmonic problem is investigated, which involves critical Sobolev nonlinearity and multiple Rellich-type terms. By complicated asymptotic analysis and variational arguments, the existence and nonexistence of ground state solution to the problem are established. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：9 / 15

页数：7

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