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Uniqueness of positive solutions of nonlinear elliptic equations with exponential growth

Published online by Cambridge University Press:  12 July 2007

Cristina Tarsi
Cristina Tarsi
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy ([email protected])
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Abstract

By combining a technique inspired to the theory of sublinear elliptic equations with the Emden-Fowler inversion technique of Atkinson and Peletier, we obtain uniqueness of positive solutions of the following equation where B ⊂ Rn is the ball of radius one, λ > 0 and 1 < ϑ ≤ 2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 6 , December 2003 , pp. 1409 - 1420
Copyright
Copyright © Royal Society of Edinburgh 2003

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