Accession Number : ADA114485
Title : Convex Solutions to Nonlinear Elliptic and Parabolic Boundary Value Problems.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Korevaar,Nicholas J
PDF Url : ADA114485
Report Date : Dec 1981
Pagination or Media Count : 25
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).
Descriptors : *Nonlinear differential equations, *Ellipses, *Convex bodies, *Boundary value problems, Eigenvalues, Graphs, Parabolic bodies, Cylindrical bodies, Domain walls
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE