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Positive solutions for the p-Laplacian: application of the fibrering method

Published online by Cambridge University Press:  14 November 2011

Pavel Drábek  and
Stanislav I. Pohozaev
Pavel Drábek
Affiliation:
Department of Mathematics, University of West Bohemia, P.O. Box 314, 323 23 Plzeň, Czech Republic e-mail>: [email protected]
Stanislav I. Pohozaev
Affiliation:
Steklov Mathematical Institut, Russian Academy of Sciences, Vavilova 42, 117 966 Moscow, Russia e-mail: [email protected]
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Abstract

Using the fibrering method, we prove the existence of multiple positive solutions of quasilinear problems of second order. The main part of our differential operator is p-Laplacian and we consider solutions both in the bounded domain Ω⊂ℝN and in the whole of ℝN. We also prove nonexistence results.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 4 , 1997 , pp. 703 - 726
Copyright
Copyright © Royal Society of Edinburgh 1997

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