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Existence and uniqueness results for a class of elliptic equations with exponential nonlinearity

Published online by Cambridge University Press:  12 July 2007

Kwangseok Choe
Kwangseok Choe
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea ([email protected])
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Abstract

We establish existence results for a class of semilinear elliptic equations with exponential nonlinearity by studying a suitable eigenvalue problem. We also establish a uniqueness result for those equations by making use of the implicit function theorem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 959 - 983
Copyright
Copyright © Royal Society of Edinburgh 2005

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