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The Existence for a Plateau Problem with Nonconvex Geometrical Constraint(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1997年05期
Page:
89-92
Research Field:
Publishing date:

Info

Title:
The Existence for a Plateau Problem with Nonconvex Geometrical Constraint
Author(s):
YangXiaoping
School of Sciences,NUST,Nanjing 210094
Keywords:
existence variat io nal inequal ity minimum no nconv ex const raint Plateau pr oblem
PACS:
O175.25
DOI:
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Abstract:
T he so-called Plateau pro blem w ith no nconvex geomet rical constraint s is to find out H -surfaces w ith prescribed mean curvatur e, w hich is in a nonconvex g eomet rical set and sat isfies Plateau co ndit ions, that is, conformal co nditions. T his paper pr oved the existence of bounded solut ions for this kind Plateau problem by so lving a local minimizing pr oblem w ith nonco nvex co nst raint via the calculus of variat ion, equat ion w ith measures and prior est imates. T he solut ions obtained sat isfy a system of variat ional inequalit ies.

References:

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Last Update: 2013-03-29