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
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE