Existence of solutions for a boundary problem involving p(x)-biharmonic operator

n this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principale and local mountain pass theorem without (Palais.Smale) condition.

Bibliographic Details
Main Authors:	Abdel Rachid El Amrouss, Anass Ourraoui
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2013-02-01
Series:	Boletim da Sociedade Paranaense de Matemática
Subjects:	p(x)-biharmonic neumann problem variational methods.
Online Access:	http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15148

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spelling	doaj-7c77c2efc6df4b488d1ee224db2df4c32020-11-24T23:06:32ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882013-02-01311179192Existence of solutions for a boundary problem involving p(x)-biharmonic operator Abdel Rachid El AmroussAnass Ourraouin this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principale and local mountain pass theorem without (Palais.Smale) condition.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15148p(x)-biharmonicneumann problemvariational methods.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdel Rachid El Amrouss Anass Ourraoui
spellingShingle	Abdel Rachid El Amrouss Anass Ourraoui Existence of solutions for a boundary problem involving p(x)-biharmonic operator Boletim da Sociedade Paranaense de Matemática p(x)-biharmonic neumann problem variational methods.
author_facet	Abdel Rachid El Amrouss Anass Ourraoui
author_sort	Abdel Rachid El Amrouss
title	Existence of solutions for a boundary problem involving p(x)-biharmonic operator
title_short	Existence of solutions for a boundary problem involving p(x)-biharmonic operator
title_full	Existence of solutions for a boundary problem involving p(x)-biharmonic operator
title_fullStr	Existence of solutions for a boundary problem involving p(x)-biharmonic operator
title_full_unstemmed	Existence of solutions for a boundary problem involving p(x)-biharmonic operator
title_sort	existence of solutions for a boundary problem involving p(x)-biharmonic operator
publisher	Sociedade Brasileira de Matemática
series	Boletim da Sociedade Paranaense de Matemática
issn	0037-8712 2175-1188
publishDate	2013-02-01
description	n this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principale and local mountain pass theorem without (Palais.Smale) condition.
topic	p(x)-biharmonic neumann problem variational methods.
url	http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/15148
work_keys_str_mv	AT abdelrachidelamrouss existenceofsolutionsforaboundaryprobleminvolvingpxbiharmonicoperator AT anassourraoui existenceofsolutionsforaboundaryprobleminvolvingpxbiharmonicoperator
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Existence of solutions for a boundary problem involving p(x)-biharmonic operator

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