Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain

Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain

In this paper we study of the existence of solutions for a class of elliptic system with nonlocal term in R^{N}. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.

Bibliographic Details
Main Authors: Abdelamlek Brahim, Ali Djellit, Saadia Tas
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
nonlinear elliptic systems
p(x)-Kirchhoff-type problems
weak solutions
mountain pass theorem
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/33081
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spelling doaj-cd6a0c44e3b24758bd55367f526fdcc22020-11-24T20:48:55ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-07-0136319320510.5269/bspm.v36i3.3308115681Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domainAbdelamlek Brahim0Ali Djellit1Saadia Tas2University of Souk-Ahras, Algeria.University of AnnabaAbderrahmane Mira Bejaia UniversityIn this paper we study of the existence of solutions for a class of elliptic system with nonlocal term in R^{N}. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/33081nonlinear elliptic systemsp(x)-Kirchhoff-type problemsweak solutionsmountain pass theorem
collection DOAJ
language English
format Article
sources DOAJ
author Abdelamlek Brahim
Ali Djellit
Saadia Tas
spellingShingle Abdelamlek Brahim
Ali Djellit
Saadia Tas
Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
Boletim da Sociedade Paranaense de Matemática
nonlinear elliptic systems
p(x)-Kirchhoff-type problems
weak solutions
mountain pass theorem
author_facet Abdelamlek Brahim
Ali Djellit
Saadia Tas
author_sort Abdelamlek Brahim
title Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
title_short Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
title_full Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
title_fullStr Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
title_full_unstemmed Existence of solutions for an elliptic p(x)-Kirchhoff-type systems in unbounded domain
title_sort existence of solutions for an elliptic p(x)-kirchhoff-type systems in unbounded domain
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2018-07-01
description In this paper we study of the existence of solutions for a class of elliptic system with nonlocal term in R^{N}. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.
topic nonlinear elliptic systems
p(x)-Kirchhoff-type problems
weak solutions
mountain pass theorem
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/33081
work_keys_str_mv AT abdelamlekbrahim existenceofsolutionsforanellipticpxkirchhofftypesystemsinunboundeddomain
AT alidjellit existenceofsolutionsforanellipticpxkirchhofftypesystemsinunboundeddomain
AT saadiatas existenceofsolutionsforanellipticpxkirchhofftypesystemsinunboundeddomain
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