EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR ELLIPTIC DIRICHLET SYSTEMS

被引：0

作者：

Bonanno, Gabriele ^{[1
]}

Tornatore, Elisabetta ^{[2
]}

机构：

[1] Univ Messina, Dept Civil Informat Technol Construct Environm En, I-98166 Messina, Italy

[2] Univ Palermo, Dipartimento Ingn Elettr Elettron & Telecomunicaz, I-90128 Palermo, Italy

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Elliptic systems; variational problems; multiple solutions; THEOREM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, two, or three solutions is established. Our approach is based on variational methods.

引用

页数：11

共 50 条

[1] Existence and multiplicity of solutions for nonlinear elliptic equations
Musso, M
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1998, 1A : 141 - 144
[2] Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
Long, Yuhua
Zhang, Huan
[J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (07): : 2681 - 2699
[3] Existence and multiplicity of positive radial solutions to the Dirichlet problem for nonlinear elliptic equations on annular domains
Bouteraa, Noureddine
Benaicha, Slimane
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2020, 65 (01): : 109 - 125
[4] Existence and multiplicity of positive solutions for elliptic systems
Dunninger, DR
Wang, HY
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (09) : 1051 - 1060
[5] Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
Bonanno, Gabriele
Chinni, Antonia
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (02) : 812 - 827
[6] EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS
Ke, Xiaofeng
Tang, Chunlei
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (04): : 1347 - 1358
[7] Existence and multiplicity of nontrivial solutions for quasilinear elliptic systems
Ou, Zeng-Qi
Tang, Chun-Lei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (02) : 423 - 438
[8] Existence and multiplicity of solutions for a class of superlinear elliptic systems
Li, Chun
Agarwal, Ravi P.
Wu, Dong-Lun
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2018, 7 (02) : 183 - 196
[9] Existence and multiplicity of solutions for a class of fractional elliptic systems
de Souza, Manasses
[J]. COLLECTANEA MATHEMATICA, 2020, 71 (01) : 103 - 122
[10] Existence and multiplicity of solutions for a class of elliptic systems in Rn
Rabelo, Paulo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2585 - 2599

← 1 2 3 4 5 →