Displaying similar documents to “The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries”

Free boundary minimal surfaces: a survey of recent results

Alessandro Carlotto (2019)

Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche

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We present a wide-spectrum overview of some recent developments in the theory of free boundary minimal surfaces, with special emphasis on the problem of compactness under mild curvature conditions on the ambient manifold.

On the Regularity of Alexandrov Surfaces with Curvature Bounded Below

Luigi Ambrosio, Jérôme Bertrand (2016)

Analysis and Geometry in Metric Spaces

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In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.

The PDE describing constant mean curvature surfaces

Hongyou Wu (2001)

Mathematica Bohemica

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We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.