On sequences of solutions for discrete anisotropic equations

被引：36

作者：

Bisci, Giovanni Molica ^{[1
]}

Repovs, Dusan ^{[2
,3
]}

机构：

[1] Univ Mediterranea Reggio Calabria, Dipartimento PAU, I-89100 Reggio Di Calabria, Italy

[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

来源：

EXPOSITIONES MATHEMATICAE | 2014年 / 32卷 / 03期

关键词：

Discrete nonlinear boundary value problems; Anisotropic difference equations; Infinitely many solutions; Variational methods;

D O I：

10.1016/j.exmath.2013.12.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions. (C) 2013 Elsevier GmbH. All rights reserved.

引用

页码：284 / 295

页数：12

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