The existence of solutions for a class of semilinear elliptic systems

被引：9
|
作者：
Duan, Shengzhong [2 ,3 ]
Wu, Xian [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
[3] Baoshan Coll, Dept Math, Baoshan 678000, Yunnan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Semilinear elliptic systems; Weak solution; Variational methods; CRITICAL-POINT THEORY; INDEFINITE FUNCTIONALS; MULTIPLE SOLUTIONS; PERTURBATIONS; RESONANCE; LINKING;
D O I：
10.1016/j.na.2010.06.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some new existence theorems of weak solutions for a class of semilinear elliptic systems are obtained by means of the local linking theorem and the saddle point theorem. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2842 / 2854
页数：13
相关论文
共 50 条
  • [1] EXISTENCE OF ENTIRE POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
    Zhang, Zhijun
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [2] Existence and uniqueness of positive solutions for a class of semilinear elliptic systems
    Ren Hao Cui
    Jun Ping Shi
    Yu Wen Wang
    Acta Mathematica Sinica, English Series, 2011, 27 : 1079 - 1090
  • [3] Existence and uniqueness of positive solutions to a class of semilinear elliptic systems
    Zhong, JB
    Chen, JC
    ACTA MATHEMATICA SCIENTIA, 2002, 22 (04) : 451 - 458
  • [4] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
    钟金标
    陈祖墀
    Acta Mathematica Scientia, 2002, (04) : 451 - 458
  • [5] Existence and uniqueness of positive solutions for a class of semilinear elliptic systems
    Cui, Ren Hao
    Shi, Jun Ping
    Wang, Yu Wen
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (06) : 1079 - 1090
  • [6] An existence result on positive solutions for a class of semilinear elliptic systems
    Hai, DD
    Shivaji, R
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 137 - 141
  • [7] EXISTENCE, UNIQUENESS AND STABILITY OF POSITIVE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
    Cui, Renhao
    Li, Ping
    Shi, Junping
    Wang, Yunwen
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (01) : 91 - 104
  • [8] Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems
    Arruda, Suellen Cristina Q.
    Figueiredo, Giovany M.
    Nascimento, Rubia G.
    ASYMPTOTIC ANALYSIS, 2022, 127 (1-2) : 15 - 34
  • [9] Existence and nonexistence of positive singular solutions for a class of semilinear elliptic systems
    Garcia-Huidobro, M
    Manasevich, R
    Mitidieri, E
    Yarur, CS
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 140 (03) : 253 - 284
  • [10] A remark on the existence of entire positive solutions for a class of semilinear elliptic systems
    Li, Hong
    Zhang, Pei
    Zhang, Zhijun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 338 - 341
12345