Existence of positive solutions for some polyharmonic nonlinear equations in ℝn

Existence of positive solutions for some polyharmonic nonlinear equations in ℝn

We will study the following polyharmonic nonlinear elliptic equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m. Under appropriate conditions on the nonlinearity f(x,t), related to a class of functions called m-Green-tight functions, we give some existence results for the above equation.

Bibliographic Details
Main Authors: Habib Mâagli, Malek Zribi
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/76582
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spelling doaj-f64ada72234a4dfd936aa4fd1ee563392020-11-24T23:15:09ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/7658276582Existence of positive solutions for some polyharmonic nonlinear equations in ℝnHabib Mâagli0Malek Zribi1Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, TunisiaDépartement de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, TunisiaWe will study the following polyharmonic nonlinear elliptic equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m. Under appropriate conditions on the nonlinearity f(x,t), related to a class of functions called m-Green-tight functions, we give some existence results for the above equation.http://dx.doi.org/10.1155/AAA/2006/76582
collection DOAJ
language English
format Article
sources DOAJ
author Habib Mâagli
Malek Zribi
spellingShingle Habib Mâagli
Malek Zribi
Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
Abstract and Applied Analysis
author_facet Habib Mâagli
Malek Zribi
author_sort Habib Mâagli
title Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
title_short Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
title_full Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
title_fullStr Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
title_full_unstemmed Existence of positive solutions for some polyharmonic nonlinear equations in ℝn
title_sort existence of positive solutions for some polyharmonic nonlinear equations in ℝn
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2006-01-01
description We will study the following polyharmonic nonlinear elliptic equation (−∆)mu+f(‧,u)=0 in ℝn, n>2m. Under appropriate conditions on the nonlinearity f(x,t), related to a class of functions called m-Green-tight functions, we give some existence results for the above equation.
url http://dx.doi.org/10.1155/AAA/2006/76582
work_keys_str_mv AT habibmaagli existenceofpositivesolutionsforsomepolyharmonicnonlinearequationsinrn
AT malekzribi existenceofpositivesolutionsforsomepolyharmonicnonlinearequationsinrn
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