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An elliptic boundary value problem for strongly non-linear equations in unbounded domains

Published online by Cambridge University Press:  14 February 2012

Vesa Mustonen
Vesa Mustonen
Affiliation:
Department of Mathematics, University of Oulu, Finland, and Mathematics Division, University of Sussex
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Synopsis

The existence of a variational solution is shown for the strongly non-linear elliptic boundary value problem in unbounded domains. The proof is a generalisation to Orlicz-Sobolev space setting of the idea introduced in [15] for the equations involving polynomial non-linearities only.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 3-4 , 1977 , pp. 217 - 230
Copyright
Copyright © Royal Society of Edinburgh 1977

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