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Existence of positive solutions for nonlinear singular boundary value problem with p-Laplacian

✍ Scribed by Dehong Ji; Yitao Yang; Weigao Ge

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
163 KB
Volume
33
Category
Article
ISSN
0170-4214

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πŸ“œ SIMILAR VOLUMES

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## Abstract We consider the non‐local singular boundary value problem where __q__ ∈ __C__^0^([0,1]) and __f__, __h__ ∈ __C__^0^((0,∞)), lim__f__(__x__)=βˆ’βˆž, lim__h__(__x__)=∞. We present conditions guaranteeing the existence of a solution __x__ ∈ __C__^1^([0,1]) ∩ __C__^2^((0,1]) which is positive

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In this paper we study the existence of nontrivial solutions for the problem < < py 2 N ⌬ u s u u in a bounded smooth domain ⍀ ; ‫ޒ‬ , with a nonlinear boundary p < < py 2 Ε½ . condition given by ٌu Ρ¨ urΡ¨ s f u on the boundary of the domain. The proofs are based on variational and topological argumen