Infinitely many solutions for a class of Dirichlet quasilinear elliptic systems

被引：12

作者：

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

Hadjian, A. ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 01期

关键词：

Dirichlet problem; Critical points; Infinitely many solutions; BOUNDARY-VALUE PROBLEM;

D O I：

10.1016/j.jmaa.2012.04.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of infinitely many classical solutions for a class of Dirichlet quasilinear elliptic systems. The approach is based on variational methods. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：265 / 272

页数：8

共 18 条

[1]

[Anonymous], C R MATH ACAD SCI PA

[2]

[Anonymous], 2010, Encyclopedia of Mathematics and its Applications

[3]

[Anonymous], 1990, NONLINEAR FUNCTIONAL

[4] Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu .

COMPTES RENDUS MATHEMATIQUE, 2011, 349 (5-6) :263-268

[5] Infinitely many solutions for a fourth-order elastic beam equation [J].

Bonanno, Gabriele ;

Di Bella, Beatrice .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03) :357-368

[6] Infinitely many solutions for a mixed boundary value problem [J].

Bonanno, Gabriele ;

Tornatore, Elisabetta .

ANNALES POLONICI MATHEMATICI, 2010, 99 (03) :285-293

[7] Infinitely many solutions for a Dirichlet problem involving the p-Laplacian [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 :737-752

[8] Infinitely many weak solutions for a class of quasilinear elliptic systems [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

O'Regan, Donal .

MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (1-2) :152-160

[9] Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica .

BOUNDARY VALUE PROBLEMS, 2009,

[10] A Neumann boundary value problem for the Sturm-Liouville equation [J].

Bonanno, Gabriele ;

D'Agui, Giuseppina .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) :318-327

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