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Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity

Published online by Cambridge University Press:  14 November 2011

Adimurthi
Adimurthi
Affiliation:
TIFR Centre, P.B. 1234, Bangalore-560012, India, e-mail: [email protected]
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Abstract

Uniqueness of positive solutions of the following equation:

has been obtained, where B ⊂ ℝn is the ball of unit radius and λ > 0. Moreover, if n = 2, then the solutions are nondegenerate.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 5 , 1998 , pp. 895 - 906
Copyright
Copyright © Royal Society of Edinburgh 1998

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