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Existence Results for the p-Laplacian with Nonlinear Boundary Conditions

✍ Scribed by Julián Fernández Bonder; Julio D Rossi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
198 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 Ž . condition given by ٌu Ѩ urѨ s f u on the boundary of the domain. The proofs are based on variational and topological arguments.

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