Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606705 | Differential Geometry and its Applications | 2007 | 19 Pages |
Abstract
Given two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded by these curves is described as the harmonic extension of a critical point of some functional (the Dirichlet integral) in a certain space of boundary parametrizations. The H2,2-regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey's growth condition.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hwajeong Kim,