Sign-changing solutions for some nonlinear problems with strong resonance

被引：7

作者：

Qian, Aixia ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Mathemat Sci, Qufu 273165, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

基金：

美国国家科学基金会;

关键词：

critical point theory; strong resonance; index theory; Cerami condition; CRITICAL-POINT; ELLIPTIC-EQUATIONS;

D O I：

10.1186/1687-2770-2011-18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.

引用

页数：9

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] Li SJ, 1999, HOUSTON J MATH, V25, P563
[4] Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
Li, SJ
Wang, ZQ
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (08) : 3207 - 3227
[5] Nonlinear elliptic equations with large supercritical exponents
Molle, R
Passaseo, D
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2006, 26 (02) : 201 - 225
[6] The Neumann problem of an elliptic equation with strong resonance
Qian, Aixia
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) : 1885 - 1898
[7] Multiple nodal solutions for elliptic equations
Qian, AX
Li, SJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (04) : 615 - 632
[8] Rabinowitz P., 1986, CBMS REG COF SER MAT, V65
[9] Resonance problems with respect to the Fucik spectrum
Schechter, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (09) : 4195 - 4205
[10] New linking theorem and sign-changing solutions
Schechter, M
Wang, ZQ
Zou, W
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (3-4) : 471 - 488

← 1 2 →