Existence and multiplicity results for boundary value problems connected with the discrete p(•)-Laplacian on weighted finite graphs

被引：10

作者：

Galewski, Marek ^{[1
]}

Wieteska, Renata ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷

关键词：

Weighted graph; p(center dot)-Laplacian on a graph; Critical point theory; Existence and multiplicity; P-LAPLACIAN; NEUMANN PROBLEMS;

D O I：

10.1016/j.amc.2016.06.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the direct variational method, the Ekeland variational principle, the mountain pass geometry and Karush-Kuhn-Tucker theorem in order to investigate existence and multiplicity results for boundary value problems connected with the discrete p(center dot)-Laplacian on weighted finite graphs. Several auxiliary inequalities for the discrete p(center dot)-Laplacian on finite graphs are also derived. Positive solutions are considered. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：376 / 391

页数：16

共 25 条

[1]

Agarwal RP., 1992, DIFFERENCE EQUATIONS

[2]

[Anonymous], 2003, The mountain Pass Theorem. Variants, Generalizations and Some Application

[3]

[Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1

[4] Periodic and Neumann problems for discrete p(.)-Laplacian [J].