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Uniqueness of positive radial solutions for n-Laplacian Dirichlet problems

Published online by Cambridge University Press:  11 July 2007

M. Tang
M. Tang
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (mtang@math.umn.edu)
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Abstract

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We prove a theorem on the uniqueness of positive radial solutions to a Dirichlet problem of the n-Laplacian in a finite ball of Rn. Our proofs use only elementary analysis based on an identity due to Erbe and Tang. The result can be applied to a large class of nonlinearities, including some polynomials and functions with exponential growth; in particular, the one recently studied by Adimurthi.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1405 - 1416
Copyright
Copyright © Royal Society of Edinburgh 2000