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

We consider a singular anisotropic quasilinear problem with Dirichlet boundary condition and we establish two sufficient conditions for the uniqueness of the solution, provided such a solution exists. The proofs use elementary tools and they are based on a general comparison lemma combined with the generalized mean value theorem. Copyright © 2001 John Wiley & Sons, Ltd.