A Rigidity Result for Overdetermined Elliptic Problems in the Plane
نویسندگان
چکیده
منابع مشابه
Overdetermined problems for fully nonlinear elliptic equations
We prove that the existence of a solution to a fully nonlinear elliptic equation in a bounded domain Ω with an overdetermined boundary condition prescribing both Dirichlet and Neumann constant data forces the domain Ω to be a ball. This is a generalization of Serrin’s classical result from 1971.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2017
ISSN: 0010-3640
DOI: 10.1002/cpa.21696