Abstract and Applied Analysis
Volume 2003 (2003), Issue 17, Pages 975-984
doi:10.1155/S1085337503309029
On the existence of positive solutions for periodic
parabolic sublinear problems
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba, 5000, Argentina
Received 26 May 2003
Copyright © 2003 T. Godoy and U. Kaufmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.