Some fully nonlinear elliptic boundary v
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Cristian Enache; Shigeru Sakaguchi
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Article
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2011
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John Wiley and Sons
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English
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## Abstract In this paper we study some overdetermined boundary value problems for three classes of fully nonlinear elliptic equations. In each case we prove that the solution exists if and only if the underlying domain is the interior of an ellipsoid (or ellipse in two dimensions). The proofs make