Uniqueness of positive radial solutions for n-Laplacian Dirichlet problems
Published online by Cambridge University Press: 11 July 2007
Abstract
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
- 5
- Cited by