Accession Number:

AD0259147

Title:

ON TWO DIMENSIONAL VARIATIONAL PROBLEMS IN PARAMETRIC FORM

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF APPLIED MATHEMATICS AND STATISTICS LABS

Personal Author(s):

Report Date:

1961-05-15

Pagination or Media Count:

1.0

Abstract:

The geometrical relationships between a closed surface and a solution surface are studied. The mapping of a solution surface S, into a closed surface in the case of regular variational problems gives rise to a canonical mapping of S onto the solution of a non-parametric, uniformly elliptic variational problem. The principal application is to show that solutions of some variational problems behave qualitatively like minimal surfaces, in the same sense that solutions of uniformly elliptic equations behave like solutions of the Laplace equation. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE