Uniqueness of positive radial solutions for n-Laplacian Dirichlet problems
Moxun Tang · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2000
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.