Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces

被引：2

作者：

Jia, Gao ^{[1
]}

Zhang, Long-jie ^{[1
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

基金：

中国国家自然科学基金;

关键词：

multiplicity; variational method; semilinear elliptic equations; weighted Sobolev space; BOUNDARY-VALUE-PROBLEMS; CRITICAL-POINT THEORY; PERTURBATIONS;

D O I：

10.1186/s13661-014-0156-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of semilinear elliptic equations involving strong resonance or non-resonance is reconsidered here. The multiplicity of solutions is investigated by using the variational method, and the results complement earlier ones.

引用

页码：1 / 14

页数：14

共 50 条

[1] Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces
Gao Jia
Long-jie Zhang
Boundary Value Problems, 2014
[2] MULTIPLICITY OF SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL HARDY-SOBOLEV EXPONENTS
Guo, Qianqiao
Niu, Pengcheng
Dou, Jingbo
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2008, 2 (02) : 158 - 174
[3] Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations
Cavalheiro, AC
APPLIED MATHEMATICS LETTERS, 2004, 17 (04) : 387 - 391
[4] MULTIPLICITY OF SINGULAR SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS
Naito, Yuki
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 90 : 97 - 110
[5] Solutions of singular semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
Du, Qi-Wu
Tang, Chun-Lei
ANNALES POLONICI MATHEMATICI, 2014, 110 (02) : 109 - 121
[6] Existence and multiplicity of solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
Huang, Li
Wu, Xing-Ping
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1916 - 1924
[7] Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 273 - 284
[8] Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents
Cao, DM
Zhong, X
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (04) : 461 - 483
[9] MULTIPLE SOLUTIONS FOR A HOMOGENEOUS SEMILINEAR ELLIPTIC PROBLEM IN DOUBLE WEIGHTED SOBOLEV SPACES
Mezei, Ildiko Ilona
Kovacs, Tunde
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2009, 54 (03): : 99 - 112
[10] Existence and multiplicity of solutions of semilinear elliptic equations
Tang, CL
Wu, XP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 256 (01) : 1 - 12

← 1 2 3 4 5 →