On the system of anisotropic discrete BVPs

被引：17

作者：

Galewski, Marek ^{[1
]}

Wieteska, Renata ^{[2
]}

机构：

[1] Tech Univ Lodz, Inst Math, PL-90924 Lodz, Poland

[2] Tech Univ Lodz, Ctr Math & Phys, PL-90924 Lodz, Poland

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 07期

关键词：

anisotropic system; critical point theory; mountain pass lemma; direct variational method; Ky Fan min-max theorem; EXISTENCE;

D O I：

10.1080/10236198.2012.709508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of solutions of the system of anisotropic discrete boundary value problems using critical point theory. We apply direct variational approach, the Ky Fan min-max inequality and the mountain pass lemma.

引用

页码：1065 / 1081

页数：17

共 21 条

[1] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods [J].

Agarwal, Ravi P. ;

Perera, Kanishka ;

O'Regan, Donal .

ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) :93-99

[2]

[Anonymous], 1987, Problemes de Dirichlet Variationnels non Lineaires

[3] Multiple solutions for discrete boundary value problems [J].

Cabada, Alberto ;

Iannizzotto, Antonio ;

Tersian, Stepan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :418-428

[4] Existence theorems of periodic solutions for second-order nonlinear difference equations [J].

Cai, Xiaochun ;

Yu, Jianshe .

ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)

[5] Variable exponent, linear growth functionals in image restoration [J].

Chen, Yunmei ;

Levine, Stacey ;

Rao, Murali .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1383-1406

[6] Existence of solutions for p(x)-Laplacian Dirichlet problem [J].

Fan, XL ;

Zhang, QH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) :1843-1852

[7]

Galewski M., J DIFFER EQ IN PRESS

[8] Continuous dependence on parameters for second order discrete BVP's [J].

Galewski, Marek ;

Glab, Szymon .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (03) :1076-1083

[9] On the discrete boundary value problem for anisotropic equation [J].

Galewski, Marek ;

Glab, Szymon .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) :956-965

[10] Overview of differential equations with non-standard growth [J].

Harjulehto, Petteri ;

Hasto, Peter ;

Le, Ut V. ;

Nuortio, Matti .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4551-4574

← 1 2 3 →