Multiplicity of weak solutions to a fourth-order elliptic equation with sign-changing weight function

被引：1

作者：

Han, Yuzhu ^{[1
]}

Cao, Chunling ^{[1
]}

Li, Jiankang ^{[2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun, Jilin, Peoples R China

[2] China Coal Technol & Engn Grp, Beijing, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 09期

基金：

中国国家自然科学基金;

关键词：

D; Mitrea; Fourth-order; multiplicity; sign-changing; weight function; GLOBAL SOLUTION; BLOW-UP;

D O I：

10.1080/17476933.2019.1662405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a fourth-order elliptic equation with a sign-changing weight function is investigated. By the modified logarithmic Sobolev inequality and Nehari manifold it is shown that the problem admits at least two nontrivial weak solutions, which shows how the sign-changing weight function affect the existence and multiplicity of weak solutions to the problem.

引用

页码：1462 / 1473

页数：12

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