Overdetermined problems for fully non linear operators

Details Overdetermined problems for fully non linear operators Overdetermined problems for fully non linear operators

2011-05-27

arxiv.org/abs/1105.5603v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

In this paper, we consider the overdetermined problem for fully non linear
singular or degenerate elliptic operators in bounded smooth domains with both
Dirichlet and Neumann condition, as in the classical result of Serrin we prove
that the existence of nontrivial constant sign solution imply that the domain
is a ball.

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