Uniqueness of positive radial solutions for n-Laplacian Dirichlet problems

Authors
Tang, M
Citation
M. Tang, Uniqueness of positive radial solutions for n-Laplacian Dirichlet problems, P RS EDIN A, 130, 2000, pp. 1405-1416
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
130
Year of publication
2000
Part
6
Pages
1405 - 1416
Database
ISI
SICI code
0308-2105(2000)130:<1405:UOPRSF>2.0.ZU;2-L
Abstract
We prove a theorem on the uniqueness of positive radial solutions to a Diri chlet problem of the n-Laplacian in a finite ball of R-n. Our proofs use on ly elementary analysis based on an identity due to Erbe and Tang. The resul t can be applied to a large class of nonlinearities, including some polynom ials and functions with exponential growth; in particular, the one recently studied by Adimurthi.