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On the existence of positive solutions for periodic parabolic sublinear problems

T. Godoy and U. Kaufmann

Abstract and Applied Analysis, 2003, vol. 2003, issue 17, 975-984

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.

Date: 2003
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https://doi.org/10.1155/S1085337503309029

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