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
T. Godoy
and U. Kaufmann
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, Córdoba, 5000, Argentina
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.