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.
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页码：9 / 15
页数：7
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