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

被引：61
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
收藏
页码：3109 / 3125
页数：17
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