Multiple and sign-changing solutions for a class of semilinear biharmonic equation

被引：58

作者：

Wang, Youjun ^{[1
]}

Shen, Yaotan ^{[1
]}

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Biharmonic equation; Sign-changing solution; Linking; CRITICAL EXPONENTS; ELLIPTIC PROBLEMS;

D O I：

10.1016/j.jde.2009.02.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, under an improved Hardy-Rellich's inequality, we study the existence of multiple and sign-changing solutions for a biharmonic equation in unbounded domain by the minimax method and linking theorem. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.

引用

页码：3109 / 3125

页数：17

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