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
收藏
页码：376 / 391
页数：16
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