Positive solutions of an asymptotically planar system of elliptic boundary value problems

We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations. It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.

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Main Author: F. J. S. A. Corrêa
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000751
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author F. J. S. A. Corrêa
author_facet F. J. S. A. Corrêa
author_sort F. J. S. A. Corrêa
collection DOAJ
description We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations. It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.
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institution Kabale University
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1687-0425
language English
publishDate 1998-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-21cde2b4c4434b14ae5b8c91bc6931552025-02-03T05:46:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121354955410.1155/S0161171298000751Positive solutions of an asymptotically planar system of elliptic boundary value problemsF. J. S. A. Corrêa0Departamento de Matemática e Estatística, Universidade Federal da Paraíba, Campina Grande, PB 58109-970, BrazilWe will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations. It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.http://dx.doi.org/10.1155/S0161171298000751Positive solutionasymptotically planarmaximum principle bifurcation point.
spellingShingle F. J. S. A. Corrêa
Positive solutions of an asymptotically planar system of elliptic boundary value problems
International Journal of Mathematics and Mathematical Sciences
Positive solution
asymptotically planar
maximum principle
bifurcation point.
title Positive solutions of an asymptotically planar system of elliptic boundary value problems
title_full Positive solutions of an asymptotically planar system of elliptic boundary value problems
title_fullStr Positive solutions of an asymptotically planar system of elliptic boundary value problems
title_full_unstemmed Positive solutions of an asymptotically planar system of elliptic boundary value problems
title_short Positive solutions of an asymptotically planar system of elliptic boundary value problems
title_sort positive solutions of an asymptotically planar system of elliptic boundary value problems
topic Positive solution
asymptotically planar
maximum principle
bifurcation point.
url http://dx.doi.org/10.1155/S0161171298000751
work_keys_str_mv AT fjsacorrea positivesolutionsofanasymptoticallyplanarsystemofellipticboundaryvalueproblems