Remarks on multiple nontrivial solutions for quasi-linear resonant problems

被引：136

作者：

Liu, J ^{[1
]}

Su, JB ^{[1
]}

机构：

[1] Peking Univ, Acad Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 258卷 / 01期

基金：

中国国家自然科学基金;

关键词：

quasi-linear elliptic equation; double resonance; critical group; homological nontrivial critical point; Morse theory; local linking; multiple solutions;

D O I：

10.1006/jmaa.2000.7374

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0. (C) 2001 Academic Press.

引用

页码：209 / 222

页数：14

共 50 条

[1] Existence of nontrivial solutions for quasi-linear resonant problems
Department of Mathematics, Faculty of Sciences, University Mohammed I, Oujda, Morocco
ESAIM: Math. Model. Numer. Anal., 2007, (53-62):
[2] MULTIPLE NONTRIVIAL SOLUTIONS OF RESONANT AND NONRESONANT ASYMPTOTICALLY LINEAR-PROBLEMS
AHMAD, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (03) : 405 - 409
[3] Multiple nontrivial solutions for resonant Neumann problems
Filippakis, Michael
Papageorgiou, Nikolaos S.
MATHEMATISCHE NACHRICHTEN, 2010, 283 (07) : 1000 - 1014
[4] Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems
Papageorgiou, Nikolaos S.
Staicu, Vasile
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 53 (02): : 347 - 359
[5] ON THE EXISTENCE OF MULTIPLE NONTRIVIAL SOLUTIONS FOR RESONANT NEUMANN PROBLEMS
Papageorgiou, Nikolaos S.
Santos, Sandrina R. A.
Staicu, Vasile
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2008, 9 (03) : 351 - 360
[6] Remarks on multiple solutions for elliptic resonant problems
Liu, Shibo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) : 498 - 505
[7] Existence of Nontrivial Weak Solutions to Quasi-Linear Elliptic Equations with Exponential Growth
Wang Chong
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2013, 26 (01): : 25 - 38
[8] ON THE EXISTENCE OF MULTIPLE SOLUTIONS FOR A CLASS OF QUASI-LINEAR SYSTEMS
BOUCHEKIF, M
DETHELIN, F
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (12): : 1475 - 1479
[9] Multiple normalized solutions for quasi-linear Schrodinger equations
Jeanjean, Louis
Luo, Tingjian
Wang, Zhi-Qiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (08) : 3894 - 3928
[10] Multiple solutions to quasi-linear elliptic Robin systems
Guarnotta, U.
Marano, S. A.
Moussaoui, A.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 71

← 1 2 3 4 5 →