Positive solutions for anisotropic discrete boundary-value problems

Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution for anisotropic discrete Dirichlet boundary-value problems. Our results generalized and improve those in [16].

Bibliographic Details
Main Authors: Marek Galewski, Szymon Glab, Renata Wieteska
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/32/abstr.html
_version_ 1818937684460044288
author Marek Galewski
Szymon Glab
Renata Wieteska
author_facet Marek Galewski
Szymon Glab
Renata Wieteska
author_sort Marek Galewski
collection DOAJ
description Using mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution for anisotropic discrete Dirichlet boundary-value problems. Our results generalized and improve those in [16].
first_indexed 2024-12-20T05:55:52Z
format Article
id doaj.art-db9c498981ae4502b90f11b0ed2cf96f
institution Directory Open Access Journal
issn 1072-6691
language English
last_indexed 2024-12-20T05:55:52Z
publishDate 2013-01-01
publisher Texas State University
record_format Article
series Electronic Journal of Differential Equations
spelling doaj.art-db9c498981ae4502b90f11b0ed2cf96f2022-12-21T19:51:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201332,19Positive solutions for anisotropic discrete boundary-value problemsMarek GalewskiSzymon GlabRenata WieteskaUsing mountain pass arguments and the Karsuh-Kuhn-Tucker Theorem, we prove the existence of at least two positive solution for anisotropic discrete Dirichlet boundary-value problems. Our results generalized and improve those in [16].http://ejde.math.txstate.edu/Volumes/2013/32/abstr.htmlDiscrete boundary value problemmountain pass theoremvariational methodsKarush-Kuhn-Tucker Theorempositive solutionanisotropic problem
spellingShingle Marek Galewski
Szymon Glab
Renata Wieteska
Positive solutions for anisotropic discrete boundary-value problems
Electronic Journal of Differential Equations
Discrete boundary value problem
mountain pass theorem
variational methods
Karush-Kuhn-Tucker Theorem
positive solution
anisotropic problem
title Positive solutions for anisotropic discrete boundary-value problems
title_full Positive solutions for anisotropic discrete boundary-value problems
title_fullStr Positive solutions for anisotropic discrete boundary-value problems
title_full_unstemmed Positive solutions for anisotropic discrete boundary-value problems
title_short Positive solutions for anisotropic discrete boundary-value problems
title_sort positive solutions for anisotropic discrete boundary value problems
topic Discrete boundary value problem
mountain pass theorem
variational methods
Karush-Kuhn-Tucker Theorem
positive solution
anisotropic problem
url http://ejde.math.txstate.edu/Volumes/2013/32/abstr.html
work_keys_str_mv AT marekgalewski positivesolutionsforanisotropicdiscreteboundaryvalueproblems
AT szymonglab positivesolutionsforanisotropicdiscreteboundaryvalueproblems
AT renatawieteska positivesolutionsforanisotropicdiscreteboundaryvalueproblems