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Positive solutions of elliptic equations involving supercritical growth

Published online by Cambridge University Press:  14 November 2011

F. Merle  and
L. A. Peletier
F. Merle
Affiliation:
Laboratoire d'Analyse Numérique, Tour 55-65, 5e etage, Université Pierre et Marie curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
L. A. Peletier
Affiliation:
Mathematical Institute, Leiden University, PB9512, 2300 RA Leiden, The Netherlands
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Synopsis

Positive radial solutions of elliptic equation involving supercritical growth are analysed as their supremum norm tends to infinity. It is shown that they converge, uniformly away from the origin, as well as in H1, to the unique singular solution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 49 - 62
Copyright
Copyright © Royal Society of Edinburgh 1991

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