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This article is available for purchase or by subscription. See below.
Abstract
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We generalize in Lorentz–Minkowski space
the
two-dimensional analogue of the catenary of Euclidean space. We solve the Dirichlet
problem when the bounded domain is mean convex and the boundary data has a
spacelike extension to the domain. We also classify all singular maximal surfaces of
invariant by a uniparametric group of translations and rotations.
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Keywords
singular maximal surface, Dirichlet problem, invariant
surface
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Mathematical Subject Classification 2010
Primary: 53A10, 53C42
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Milestones
Received: 15 February 2019
Accepted: 4 December 2019
Published: 29 April 2020
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