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EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS

Part of: Elliptic equations and systems General theory in ordinary differential equations

Published online by Cambridge University Press:  01 August 2008

OCTAVIAN G. MUSTAFA
OCTAVIAN G. MUSTAFA*
Affiliation:
Faculty of Mathematics, D.A.L., University of Craiova, Romania (email: [email protected])
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Abstract

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We establish that the elliptic equation defined in an exterior domain of ℝn, n≥3, has a positive solution which decays to 0 as under quite general assumptions upon f and g.

Keywords

positive solutionnonlinear elliptic equationexterior domain

MSC classification

Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 1 , August 2008 , pp. 157 - 162
Copyright
Copyright © 2008 Australian Mathematical Society

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