Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems

Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems

In this article, we consider the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)+h( abla u)+f(u) quadhbox{in }Omega, cr u = 0 quadhbox{on }partialOmega. }$$ Under suitable assumptions on $g, h, f, Omega$ that allow a singularity of g at the origin, we obtain infinite multipl...

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Bibliographic Details
Main Author: Carlos C. Aranda
Format: Article
Language:English
Published: Texas State University 2009-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Bifurcation
degree theory
nonlinear eigenvalues
and eigenfunctions
Online Access:http://ejde.math.txstate.edu/Volumes/2009/124/abstr.html
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spelling doaj-772c197a64bc4fa69c0a6357a58d66a52020-11-24T22:37:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-10-012009124,118Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problemsCarlos C. ArandaIn this article, we consider the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)+h( abla u)+f(u) quadhbox{in }Omega, cr u = 0 quadhbox{on }partialOmega. }$$ Under suitable assumptions on $g, h, f, Omega$ that allow a singularity of g at the origin, we obtain infinite multiplicity results. Moreover, we state infinite multiplicity results for related boundary blow up supercritical problems and for supercritical elliptic problems with Dirichlet boundary condition. http://ejde.math.txstate.edu/Volumes/2009/124/abstr.htmlBifurcationdegree theorynonlinear eigenvaluesand eigenfunctions
collection DOAJ
language English
format Article
sources DOAJ
author Carlos C. Aranda
spellingShingle Carlos C. Aranda
Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
Electronic Journal of Differential Equations
Bifurcation
degree theory
nonlinear eigenvalues
and eigenfunctions
author_facet Carlos C. Aranda
author_sort Carlos C. Aranda
title Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
title_short Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
title_full Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
title_fullStr Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
title_full_unstemmed Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
title_sort infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2009-10-01
description In this article, we consider the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)+h( abla u)+f(u) quadhbox{in }Omega, cr u = 0 quadhbox{on }partialOmega. }$$ Under suitable assumptions on $g, h, f, Omega$ that allow a singularity of g at the origin, we obtain infinite multiplicity results. Moreover, we state infinite multiplicity results for related boundary blow up supercritical problems and for supercritical elliptic problems with Dirichlet boundary condition.
topic Bifurcation
degree theory
nonlinear eigenvalues
and eigenfunctions
url http://ejde.math.txstate.edu/Volumes/2009/124/abstr.html
work_keys_str_mv AT carloscaranda infinitemultiplicityofpositivesolutionsforsingularnonlinearellipticequationswithconvectiontermandrelatedsupercriticalproblems
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