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Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large

Published online by Cambridge University Press:  14 November 2011

Zongming Guo  and
J. R. L. Webb
Zongming Guo
Affiliation:
Department of Mathematics, University of New England, Armidale, NSW23 51, Australia
J. R. L. Webb
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, U.K.
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Abstract

Existence and uniqueness results are proved for positive solutions of a class of quasilinear elliptic equations in a domain Ω⊂ℝN via a generalisation of Serrin's sweeping principle. In the case when Ω is an annulus, it is shown that the solution is radially symmetric.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 1 , 1994 , pp. 189 - 198
Copyright
Copyright © Royal Society of Edinburgh 1994

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