INFINITELY MANY SOLUTIONS FOR NONLOCAL ELLIPTIC SYSTEMS OF (p1, ... , pn)-KIRCHHOFF TYPE

被引：0

作者：

Heidarkhani, Shapour ^{[1
,2
]}

Henderson, Johnny ^{[3
]}

机构：

[1] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Infinitely many solutions; Kirchhoff type system; critical point theory; variational methods; DIFFERENTIAL INCLUSION PROBLEM; KIRCHHOFF-TYPE PROBLEMS; NEUMANN PROBLEM; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of infinitely many solutions for a class of nonlocal elliptic systems of (p(1), ... , p(n))-Kirchhoff type. Our approach is based on variational methods.

引用

页数：15

共 32 条

[1] Positive solutions for a quasilinear elliptic equation of Kirchhoff type [J].

Alves, CO ;

Corrêa, FJSA ;

Ma, TF .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) :85-93

[2]

[Anonymous], 1985, NONLINEAR FUNCTIONAL

[3] Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu D. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (12) :4441-4456

[4] VARIATIONAL ANALYSIS FOR A NONLINEAR ELLIPTIC PROBLEM ON THE SIERPINSKI GASKET [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2012, 18 (04) :941-953

[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] Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu .

MONATSHEFTE FUR MATHEMATIK, 2012, 165 (3-4) :305-318

[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] On the Neumann problem for elliptic equations involving the p-Laplacian [J].

Bonanno, Gabriele ;

D'Agui, Giuseppina .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 358 (02) :223-228

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

Bonanno, Gabriele ;

Bisci, Giovanni Molica .

BOUNDARY VALUE PROBLEMS, 2009,

← 1 2 3 4 →