On the existence of positive solutions for periodic parabolic sublinear problems

T. Godoy and U. Kaufmann

Abstract and Applied Analysis, 2003, vol. 2003, 1-10

Abstract:

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

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:482789

DOI: 10.1155/S1085337503309029

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