On sequences of large solutions for discrete anisotropic equations

被引：0

作者：

Steglinski, Robert ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 25期

关键词：

discrete nonlinear boundary value problem; variational methods; anisotropic problem; infinitely many solutions; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we determine a concrete interval of positive parameters lambda, for which we prove the existence of infinitely many solutions for an anisotropic discrete Dirichlet problem -Delta (alpha (k) vertical bar Delta u (k - 1)vertical bar(p (k) (-) (1) -2) Delta u(k - 1)) = lambda f (k, u (k)), k is an element of Z [1, T], where the nonlinear term f : Z [1, T] R -> R has an appropriate behavior at infinity, without any symmetry assumptions. The approach is based on critical point theory.

引用

页码：1 / 10

页数：10

共 27 条

[1]

Agarwal R. P., 1992, DIFFERENCE EQUATIONS

[2]

Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012

[3] Ground state and mountain pass solutions for discrete p(•)-Laplacian [J].