A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds
نویسنده
چکیده
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 H2,2regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey’s growth condition. Mathematics Subject Classification(2000): 49Q05, 58E05
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Unstable minimal surfaces of annulus type in manifolds
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