Existence of solutions for a class of noncooperative elliptic systems

被引：2

作者：

Ke, Xiao-Feng ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 370卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Noncooperative elliptic systems; Critical point; Linking; Superlinear growth; Resonance; NONLINEARITIES; EQUATIONS;

D O I：

10.1016/j.jmaa.2010.04.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of a nontrivial solution for a class of noncooperative elliptic systems with nonlinearities of superlinear growth. Moreover, if there is resonance, we also find at least a solution. All results are obtained by the minimax methods in critical point theory. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：18 / 29

页数：12

共 50 条

[31] 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
[32] Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary
Gal, Ciprian G.
Warma, Mahamadi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (02) : 151 - 192
[33] Existence of entire radial solutions to a class of quasilinear elliptic equations and systems
Zhou, Song
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (38) : 1 - 10
[34] 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
[35] 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
[36] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEMS WITH MULTIPLE PARAMETERS
Nguyen Thanh Chung
Afrouzi, Ghasem Alizadeh
MATEMATICKI VESNIK, 2015, 67 (03): : 166 - 173
[37] On the existence of weak solutions to a class of nonlinear elliptic systems with drift term
Cirmi, G. R.
D'Asero, S.
Leonardi, S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 501 (01)
[38] 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
[39] EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
ZHONG Jinbiao CHEN Zuchi(Department of Mathematics
JournalofSystemsScienceandComplexity, 2004, (03) : 325 - 331
[40] Existence and Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems
Marta García-Huidobro
Raú Manásevich
Enzo Mitidieri
Cecilia S. Yarur
Archive for Rational Mechanics and Analysis, 1997, 140 : 253 - 284

← 1 2 3 4 5 →