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

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 det...

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Autores principales:	Du Sijia, Zhou Zhan
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	partial difference equations boundary value problem mean curvature operator multiple solutions critical point theory 39a14 39a70 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/d75fbfd3d61a40bfb4ee2f2f61fbd08f
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spelling	oai:doaj.org-article:d75fbfd3d61a40bfb4ee2f2f61fbd08f2021-12-05T14:10:40ZOn the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator2191-94962191-950X10.1515/anona-2020-0195https://doaj.org/article/d75fbfd3d61a40bfb4ee2f2f61fbd08f2021-07-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0195https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XApartial 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.Du SijiaZhou ZhanDe Gruyterarticlepartial difference equationsboundary value problemmean curvature operatormultiple solutionscritical point theory39a1439a70AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 198-211 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partial difference equations boundary value problem mean curvature operator multiple solutions critical point theory 39a14 39a70 Analysis QA299.6-433
spellingShingle	partial difference equations boundary value problem mean curvature operator multiple solutions critical point theory 39a14 39a70 Analysis QA299.6-433 Du Sijia Zhou Zhan On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
description	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.
format	article
author	Du Sijia Zhou Zhan
author_facet	Du Sijia Zhou Zhan
author_sort	Du Sijia
title	On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
title_short	On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
title_full	On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
title_fullStr	On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
title_full_unstemmed	On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator
title_sort	on the existence of multiple solutions for a partial discrete dirichlet boundary value problem with mean curvature operator
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/d75fbfd3d61a40bfb4ee2f2f61fbd08f
work_keys_str_mv	AT dusijia ontheexistenceofmultiplesolutionsforapartialdiscretedirichletboundaryvalueproblemwithmeancurvatureoperator AT zhouzhan ontheexistenceofmultiplesolutionsforapartialdiscretedirichletboundaryvalueproblemwithmeancurvatureoperator
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On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator

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