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Comparison results in second order quasilinear Dirichlet problems*

Published online by Cambridge University Press:  14 November 2011

L. E. Payne  and
J. R. L. Webb
L. E. Payne
Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York, U.S.A.
J. R. L. Webb
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, Scotland, U.K.
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Synopsis

In [6] and [9] two different methods are given for comparing solutions of Dirichlet problems for second order quasilinear elliptic equations on convex regions. In this paper a general comparison technique is outlined—one which contains the methods of [6] and [9] as special cases. This technique is then applied to a number of special examples, comparisons with known results are given and a number of possible extensions are indicated.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 91 - 103
Copyright
Copyright © Royal Society of Edinburgh 1991

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