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

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 u/curly d omega = gamma.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA139259

Entities

People

  • J. M. Coron
  • V. Benci

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Calculus Of Variations
  • Classification
  • Convergence
  • Differential Equations
  • Dirichlet Integral
  • Equations
  • Geometric Forms
  • Geometry
  • Inequalities
  • Integrals
  • Lines (Geometry)
  • Mathematics
  • New York
  • Partial Differential Equations
  • Two Dimensional
  • United States

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)