Singular Minimal Surfaces

Ulrich Dierkes ()
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Ulrich Dierkes: Universität Duisburg, Institut für Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 177-193 from Springer

Abstract: Abstract In this survey I would like to report on some recent results concerning the singular minimal surface equation * $$ div\left( {\frac{{Du}}{{\sqrt {{1 + {{\left| {Du} \right|}^{2}}}} }}} \right)\, = \frac{\alpha }{{u\sqrt {{1 + {{\left| {Du} \right|}^{2}}}} }} $$ for functions u : Ω → ℝ, Ω ⊂ ℝ n a domain, or Ω = ℝ n . Here α denotes some real number.

Keywords: Minimal Surface; Entire Solution; Minimal Hypersurface; Minimal Submanifold; Minimal Cone (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_11

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DOI: 10.1007/978-3-642-55627-2_11

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