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Positive solutions for the -Laplacian with Robin boundary conditions on irregular domains

✍ Scribed by P. Drábek; I. Schindler

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
214 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of positive, bounded, and smooth solutions of the p-Laplacian equation.

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