# Remarks on an overdetermined boundary value problem

created by farina on 26 Apr 2007

[BibTeX]

Accepted Paper

Inserted: 26 apr 2007

Journal: Calc. Var. Partial Differential Equations
Year: 2007

Abstract:

We modify and extend proofs of Serrin's symmetry result for overdetermined boundary value problems from the Laplace-operator to a general quasilinear operator and remove a strong ellipticity assumption in 9 and a growth assumption in 5 on the diffusion coefficient $A$, as well as a starshapedness assumption on the set $\Omega$ in 4.