Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems

Authors
St Cirstea, F Radulescu, VD
Citation
F. St Cirstea et Vd. Radulescu, Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems, MATH METH A, 24(11), 2001, pp. 771-779
Citations number
7
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
24
Issue
11
Year of publication
2001
Pages
771 - 779
Database
ISI
SICI code
0170-4214(20010725)24:11<771:EIUFAC>2.0.ZU;2-I
Abstract
We consider a singular anisotropic quasilinear problem with Dirichlet bound ary condition and we establish two sufficient conditions for the uniqueness of the solution, provided such a solution exists. The proofs use elementar y tools and they are based on a general comparison lemma combined with the generalized mean value theorem. Copyright (C) 2001 John Wiley & Sons, Ltd.