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):

• Benci,V.
• Coron,J. M.

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.

Descriptors:

• *Dirichlet integral
• *Conformal mapping
• *Harmonic analysis
• *Mapping(Transformations)
• Geodesics
• Topology
• Two dimensional
• Disks
• Convergence
• Functions(Mathematics)
• Minimax technique
• Theorems

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE