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...

Full description

Saved in:
Bibliographic Details
Main Authors: T. Godoy, U. Kaufmann
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503309029
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832545697215283200
author T. Godoy
U. Kaufmann
author_facet T. Godoy
U. Kaufmann
author_sort T. Godoy
collection DOAJ
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.
format Article
id doaj-art-1b9c88c5419546229e95e9800ee1cc0d
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2003-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1b9c88c5419546229e95e9800ee1cc0d2025-02-03T07:24:54ZengWileyAbstract 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
spellingShingle T. Godoy
U. Kaufmann
On the existence of positive solutions for periodic parabolic sublinear problems
Abstract and Applied Analysis
title 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_short On the existence of positive solutions for periodic parabolic sublinear problems
title_sort on the existence of positive solutions for periodic parabolic sublinear problems
url http://dx.doi.org/10.1155/S1085337503309029
work_keys_str_mv AT tgodoy ontheexistenceofpositivesolutionsforperiodicparabolicsublinearproblems
AT ukaufmann ontheexistenceofpositivesolutionsforperiodicparabolicsublinearproblems