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Bounding functions methods for fully nonlinear boundary value problems

✍ Scribed by Guangwa Wang; Mingru Zhou; Li Sun


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
129 KB
Volume
64
Category
Article
ISSN
0362-546X

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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