Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator
type: Item
instance of: scholarly article
title: Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator
zbMATH Open document ID: 1459.39007
DOI: 10.1155/2020/6591523
author: Jianxia Wang
author: Zhan Zhou
published in: Discrete Dynamics in Nature and Society
publication date: 2020-10-14T00:00:00Z
review text: Summary: This work is to discuss the Dirichlet boundary value problem of the difference equation with \(p\)-mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. Examples are also given to illustrate our theorems in the last section.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A27
zbMATH DE Number: 7260925
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/6591523
OpenAlex ID: W3082205292
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description: scientific article; zbMATH DE number 7260925