Overdetermined problems for fully nonlinear elliptic equations
نویسنده
چکیده
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.
منابع مشابه
Serrin Type Overdetermined Problems: an Alternative Proof
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