Multiple nontrivial solutions for some fourth-order semilinear elliptic problems

被引：89

作者：

Zhang, JH ^{[1
]}

Li, SJ ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 02期

关键词：

critical group; homological nontrivial critical point; Morse theory; local linking; multiple solutions; travelling waves;

D O I：

10.1016/j.na.2004.07.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of multiple nontrivial solutions for some fourth order semilinear elliptic boundary value problems. The weak solutions are sought by means of Morse theory and local linking. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：221 / 230

页数：10

共 12 条

[1] ABSTRACT CRITICAL-POINT THEOREMS AND APPLICATIONS TO SOME NON-LINEAR PROBLEMS WITH STRONG RESONANCE AT INFINITY
BARTOLO, P
BENCI, V
FORTUNATO, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (09) : 981 - 1012
[2] Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
Bartsch, T
Li, SJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (03) : 419 - 441
[3] ON THE SOLVABILITY OF DEGENERATED QUASI-LINEAR ELLIPTIC-EQUATIONS OF HIGHER-ORDER
DRABEK, P
KUFNER, A
NICOLOSI, F
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 109 (02) : 325 - 347
[4] LARGE-AMPLITUDE PERIODIC OSCILLATIONS IN SUSPENSION BRIDGES - SOME NEW CONNECTIONS WITH NONLINEAR-ANALYSIS
LAZER, AC
MCKENNA, PJ
[J]. SIAM REVIEW, 1990, 32 (04) : 537 - 578
[5] GLOBAL BIFURCATION AND A THEOREM OF TARANTELLO
LAZER, AC
MCKENNA, PJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (03) : 648 - 655
[6] Remarks on multiple nontrivial solutions for quasi-linear resonant problems
Liu, J
Su, JB
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (01) : 209 - 222
[7] Multiplicity results for a fourth-order semilinear elliptic problem
Micheletti, AM
Pistoia, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (07) : 895 - 908
[8] Nontrivial solutions for some fourth order semilinear elliptic problems
Micheletti, AM
Pistoia, A
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (04) : 509 - 523
[9] Tarantello G., 1992, DIFFER INTEGRAL EQU, V5, P561
[10] Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity
Xu, GX
Zhang, JH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) : 633 - 640

← 1 2 →