MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NON-LOCAL ELLIPTIC OPERATORS SYSTEMS

被引：11

作者：

Bai, Chuanzhi ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Dept Math, Huaiyin 223300, Jiangsu, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

关键词：

integrodifferential operators; saddle point theorem; Ekeland's variational principle; Mountain pass theorem; FRACTIONAL LAPLACIAN;

D O I：

10.4134/BKMS.b150489

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.

引用

页码：715 / 729

页数：15

共 15 条

[1] Existence of multiple solutions for a class of (p, q)-Laplacian systems [J].

Afrouzi, G. A. ;

Mahdavi, S. ;

Naghizadeh, Z. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2243-2250

[2]

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

[3] Existence results for non-local operators of elliptic type [J].

Bai, Chuanzhi .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 83 :82-90

[4] On some critical problems for the fractional Laplacian operator [J].

Barrios, B. ;

Colorado, E. ;

de Pablo, A. ;

Sanchez, U. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (11) :6133-6162

[5] Superlinear nonlocal fractional problems with infinitely many solutions [J].

Binlin, Zhang ;

Bisci, Giovanni Molica ;

Servadei, Raffaella .

NONLINEARITY, 2015, 28 (07) :2247-2264

[6] Fractional equations with bounded primitive [J].

Bisci, Giovanni Molica .

APPLIED MATHEMATICS LETTERS, 2014, 27 :53-58

[7] Boundary Potential Theory for Schrodinger Operators Based on Fractional Laplacian [J].

Bogdan, K. ;

Byczkowski, T. .

POTENTIAL ANALYSIS OF STABLE PROCESSES AND ITS EXTENSIONS, 2009, 1980 :25-55

[8] Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian [J].

Caffarelli, Luis A. ;

Salsa, Sandro ;

Silvestre, Luis .

INVENTIONES MATHEMATICAE, 2008, 171 (02) :425-461

[9] Hitchhiker's guide to the fractional Sobolev spaces [J].

Di Nezza, Eleonora ;

Palatucci, Giampiero ;

Valdinoci, Enrico .

BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (05) :521-573

[10] A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian [J].

Dipierro, Serena ;

Pinamonti, Andrea .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (01) :85-119

← 1 2 →