Existence and non-existence results for elliptic exterior problems with nonlinear boundary conditions

被引：0

作者：

Ionica, Andrei ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2009年 / 17卷 / 01期

关键词：

elliptic equation; existence and non-existence results; exterior domain; nonlinear boundary condition; WEAK SOLUTIONS; REGULARITY; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and non-existence results are established for elliptic problems with nonlinear boundary conditions and lack of compactness. The proofs combine variational methods with the geometrical feature, due to the competition between the different growths of the non-linearities. Our paper completes previous results obtained by R. Filippucci, P. Pucci and V.Radulescu in 2008.

引用

页码：105 / 118

页数：14

共 50 条

[1] Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions
Filippucci, Roberta
Pucci, Patrizia
Radulescu, Vicentiu
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (04) : 706 - 717
[2] Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions
Zhao, Leiga
Li, Anran
Su, Jiabao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2520 - 2533
[3] Singular elliptic problems: Existence, non-existence and boundary behavior
Goncalves, J. V.
Santos, C. A.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) : 2078 - 2090
[4] Existence and Non-existence Results for Fully Nonlinear Elliptic Systems
Quaas, Alexander
Sirakov, Boyan
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (02) : 751 - 788
[5] SOME EXISTENCE AND NON-EXISTENCE RESULTS FOR A NONLINEAR ELLIPTIC PDE
DETHELIN, F
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (18): : 911 - 914
[6] Existence and non-existence results for nonlinear elliptic equations with nonstandard growth
Chai, Xiaojuan
Niu, Weisheng
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (02) : 1045 - 1057
[7] Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions
Faria, Luiz F. O.
Miyagaki, Olimpio H.
Pereira, Fabio R.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 578 - 586
[8] Existence and non-existence results for a quasilinear problem with nonlinear boundary condition
St Cîrstea, FC
Radulescu, VD
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 244 (01) : 169 - 183
[9] Existence and Multiplicity of Nonnegative Solutions for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
Huang, Jincheng
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[10] EXISTENCE AND NON-EXISTENCE RESULTS FOR SEMILINEAR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS
ESTEBAN, MJ
LIONS, PL
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1982, 93 : 1 - 14

← 1 2 3 4 5 →