A symmetry result for fully nonlinear problems in exterior domains. (English) Zbl 1537.35181
Summary: We study an overdetermined fully nonlinear problem driven by one of the Pucci’s Extremal Operators in an external domain. Under certain decay assumptions on the solution, we extend Serrin’s symmetry result, i.e, every domain where the solution exists must be radial.
Keywords:
fully nonlinear elliptic equation; overdetermined problem; symmetry of solutions; external domainReferences:
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