On the existence of positive solutions for periodic parabolic sublinear problems

On the existence of positive solutions for periodic parabolic sublinear problems

We give necessary and sufficient conditions for the existence of positive solutions for sublinear Dirichlet periodic parabolic problems Lu=g(x,t,u) in Ω×ℝ (where Ω⊂ℝN is a smooth bounded domain) for a wide class of Carathéodory functions g:Ω×ℝ×[0,∞)→ℝ satisfying some integrability and positivity con...

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Main Authors: T. Godoy, U. Kaufmann
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503309029
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spelling doaj-1b9c88c5419546229e95e9800ee1cc0d2020-11-24T23:58:38ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092003-01-0120031797598410.1155/S1085337503309029On the existence of positive solutions for periodic parabolic sublinear problemsT. Godoy0U. Kaufmann1Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba, 5000, ArgentinaFacultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba, 5000, ArgentinaWe give necessary and sufficient conditions for the existence of positive solutions for sublinear Dirichlet periodic parabolic problems Lu=g(x,t,u) in Ω×ℝ (where Ω⊂ℝN is a smooth bounded domain) for a wide class of Carathéodory functions g:Ω×ℝ×[0,∞)→ℝ satisfying some integrability and positivity conditions.http://dx.doi.org/10.1155/S1085337503309029
collection DOAJ
language English
format Article
sources DOAJ
author T. Godoy
U. Kaufmann
spellingShingle T. Godoy
U. Kaufmann
On the existence of positive solutions for periodic parabolic sublinear problems
Abstract and Applied Analysis
author_facet T. Godoy
U. Kaufmann
author_sort T. Godoy
title On the existence of positive solutions for periodic parabolic sublinear problems
title_short On the existence of positive solutions for periodic parabolic sublinear problems
title_full On the existence of positive solutions for periodic parabolic sublinear problems
title_fullStr On the existence of positive solutions for periodic parabolic sublinear problems
title_full_unstemmed On the existence of positive solutions for periodic parabolic sublinear problems
title_sort on the existence of positive solutions for periodic parabolic sublinear problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2003-01-01
description We give necessary and sufficient conditions for the existence of positive solutions for sublinear Dirichlet periodic parabolic problems Lu=g(x,t,u) in Ω×ℝ (where Ω⊂ℝN is a smooth bounded domain) for a wide class of Carathéodory functions g:Ω×ℝ×[0,∞)→ℝ satisfying some integrability and positivity conditions.
url http://dx.doi.org/10.1155/S1085337503309029
work_keys_str_mv AT tgodoy ontheexistenceofpositivesolutionsforperiodicparabolicsublinearproblems
AT ukaufmann ontheexistenceofpositivesolutionsforperiodicparabolicsublinearproblems
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