On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator-Reference-Cited by-同舟云学术

On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator

Published:2021-07-10 Issue:1 Volume:11 Page:198-211
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Du Sijia¹²,Zhou Zhan¹²

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University , Guangzhou 510006 , P.R.China

2. Center for Applied Mathematics, Guangzhou University , Guangzhou 510006 , P.R.China

Abstract

Abstract Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of critical point theory. We further separately determine open intervals of the parameter to attain at least two positive solutions and an unbounded sequence of positive solutions with the help of the maximum principle.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0195/pdf

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