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The barrier principle for minimal submanifolds of arbitrary codimension

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Publication:1403397
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DOI10.1023/A:1024791501324zbMath1027.53007MaRDI QIDQ1403397

Luquesio P. de M. Jorge, Friedrich Tomi

Publication date: 1 September 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

minimal surfacesPlateau's problembarrier principle


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)


Related Items (7)

A barrier principle for surfaces with prescribed mean curvature and arbitrary codimension ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Domains without parabolic minimal submanifolds and weakly hyperbolic domains ⋮ Spectrum Estimates and Applications to Geometry ⋮ Maximum principles for submanifolds of arbitrary codimension and bounded mean curvature ⋮ Enclosure and non-existence theorems for area stationary currents and currents with mean curvature vector ⋮ The influence of the boundary behavior on isometric immersions in the hyperbolic space







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