Accession Number:

ADA139259

Title:

The Dirichlet Problem for Harmonic Maps from the Disk into the Euclidean n-Sphere.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-01-01

Pagination or Media Count:

36.0

Abstract:

This paper studies harmonic maps when omega is the two dimensional disk and M sub n. In this situation, given a smooth function gamma from curly d omega to sub n we prove that if gamma is not constant, there exist two harmonic functions u such that ucurly d omega gamma.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE