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Normal solutions of elliptic equations

Published online by Cambridge University Press:  24 October 2008

Pekka Koskela
Pekka Koskela
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, U.S.A.
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Abstract

We extend a number of known criteria for normality of analytic and harmonic functions to the setting of solutions to elliptic partial differential equations. Some of the results hold for monotone Sobolev functions. We also discuss the boundary behaviour of monotone Sobolev functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 2 , February 1996 , pp. 363 - 371
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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