An Existence Result for Discrete Anisotropic Equations

被引：3

作者：

Heidarkhani, Shapour ^{[1
]}

Afrouzi, Ghasem A. ^{[2
]}

Moradi, Shahin ^{[2
]}

机构：

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

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2018年 / 22卷 / 03期

关键词：

discrete boundary value problem; anisotropic problem; one solution; variational methods; critical point theory; BOUNDARY-VALUE-PROBLEMS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; SEQUENCES;

D O I：

10.11650/tjm/170801

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A critical point result is exploited in order to prove that a class of discrete anisotropic boundary value problems possesses at least one solution under an asymptotical behaviour of the potential of the nonlinear term at zero. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results.

引用

页码：725 / 739

页数：15

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