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Free boundary problems with nonlinear source terms

✍ Scribed by Gunter H. Meyer

Publisher: Springer-Verlag
Year: 1984
Tongue: English
Weight: 860 KB
Volume: 43
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf01390185

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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