Accession Number : AD0755072

Title :   On Two Conjectures in the Fixed Membrane Eigenvalue Problem.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Payne,L. E.

Report Date : DEC 1972

Pagination or Media Count : 20

Abstract : In the paper the author conditions sufficient to insure that the following two results hold for eignefunctions of the fixed membrane problem defined over a closed bounded region of the plane: The first eigenfunction has only one interior critical point; and The second eigenfunction has no closed interior nodal curve. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *CONVEX SETS), MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE