Existence and nonexistence of nontrivial weak solution for a class of general capillarity systems

被引：1

作者：

Afrouzi, G. A. ^{[1
]}

Chung, N. T. ^{[2
]}

Naghizadeh, Z. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Quang Binh Univ, Dept Math, Dong Hoi, Quang Binh, Vietnam

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2014年 / 30卷 / 04期

关键词：

weak solutions; nonexistence; multiplicity; capillarity systems; variational methods; Q-LAPLACIAN PROBLEM;

D O I：

10.1007/s10255-014-0444-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the nonexistence and existence of nonnegative, nontrivial weak solution for a class of general capillarity systems. The proofs rely essentially on the minimum principle combined with the mountain pass theorem.

引用

页码：1121 / 1130

页数：10

共 20 条

[1]

Afrouzi G. A., 2011, AUST J BASIC APPL SC, V5, P1313

[2]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[3]

[Anonymous], 1992, THEORIE APPL

[4]

Arruda LK, 2011, DISCRETE CONT DYN-A, V31, P112

[5] Some remarks on a system of quasilinear elliptic equations [J].

Boccardo, L ;

de Figueiredo, DG .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 9 (03) :309-323

[6]

Bonder J. F., 2004, Abstract and Applied Analysis, V2004, P1047, DOI 10.1155/S1085337504403078

[7] EXISTENCE RESULTS FOR PERTURBATIONS OF THE P-LAPLACIAN [J].

COSTA, DG ;

MAGALHAES, CA .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (03) :409-418

[8]

doO JMB, 1997, J MATH ANAL APPL, V207, P104

[9] Existence of positive solutions for a class of p&q elliptic problems with critical growth on RN [J].

Figueiredo, Giovany M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 378 (02) :507-518

[10] The existence of a nontrivial solution to the p&q-Laplacian problem with nonlinearity asymptotic to up-1 at infinity in RN [J].

He, Chengjun ;

Li, Gongbao .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) :1100-1119

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