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ON A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY

Part of: Elliptic equations and systems

Published online by Cambridge University Press:  14 October 2011

S. A. MARANO
S. A. MARANO*
Affiliation:
Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy (email: marano@dmi.unict.it)
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Abstract

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The existence of solutions to a homogeneous Dirichlet problem for a p-Laplacian differential inclusion is studied via a fixed-point type theorem concerning operator inclusions in Banach spaces. Some meaningful special cases are then worked out.

Keywords

p-Laplaciandifferential inclusiongeneralized gradientoperator inclusion

MSC classification

Secondary: 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 1 , August 2012 , pp. 83 - 89
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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