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

被引：60

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

共 22 条

[1] DECAYING SOLUTIONS OF 2MTH ORDER ELLIPTIC PROBLEMS
ALLEGRETTO, W
YU, LS
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1991, 43 (03): : 449 - 460
[2] On a class of singular biharmonic problems involving critical exponents
Alves, CO
do O, JM
Miyagaki, OH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) : 12 - 26
[3] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[4] Positivity preserving property for a class of biharmonic elliptic problems
Berchio, Elvise
Gazzola, Filippo
Mitidieri, Enzo
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 229 (01) : 1 - 23
[5] Bernis F., 1996, Advances in Differential Equations, V1, P219
[6] On some fourth-order semilinear elliptic problems in RN
Chabrowski, J
do O, JM
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (06) : 861 - 884
[7] DENG Y, 1996, P ROY SOC EDINB A, V129, P925
[8] CRITICAL EXPONENTS, CRITICAL DIMENSIONS AND THE BIHARMONIC OPERATOR
EDMUNDS, DE
FORTUNATO, D
JANNELLI, E
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 112 (03) : 269 - 289
[9] EXISTENCE OF POSITIVE ENTIRE SOLUTIONS FOR HIGHER-ORDER QUASI-LINEAR ELLIPTIC-EQUATIONS
FURUSHO, Y
KUSANO, T
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1994, 46 (03) : 449 - 465
[10] KUSANO T, 1988, CAN J MATH, V195, P1281

← 1 2 3 →