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Convex Solutions to Nonlinear Elliptic and Parabolic Boundary Value Problems.

Author: Nicholas J Korevaar; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center DEC 1981.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
This paper contains: (a) A proof that a function on a convex domain whose graph makes zero contact angle with the bounding cylinder and which satisfies an elliptic equation of the appropriate type is convex. (b) A generalization and direct proof of the Brascamp-Lieb result that the first eigenfunction of the Laplacian on a convex domain is Log concave (and so has covex level sets).
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Document Type: Book
All Authors / Contributors: Nicholas J Korevaar; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227533088
Description: 25 p.

Abstract:

This paper contains: (a) A proof that a function on a convex domain whose graph makes zero contact angle with the bounding cylinder and which satisfies an elliptic equation of the appropriate type is convex. (b) A generalization and direct proof of the Brascamp-Lieb result that the first eigenfunction of the Laplacian on a convex domain is Log concave (and so has covex level sets).

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