%0 Journal Article
%T A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds
%A Hwajeong Kim
%J Mathematics
%D 2006
%I arXiv
%X 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 $H^{2,2}$-regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey's growth condition.
%U http://arxiv.org/abs/math/0603610v1