Open AccessA generalized Minkowski problem with Dirichlet boundary condition
Author(s) -
Oliver C. Schnürer
Publication year - 2002
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-02-03135-5
Subject(s) - mathematics , hypersurface , minkowski space , mean curvature , mathematical analysis , boundary (topology) , dirichlet distribution , curvature , pure mathematics , dirichlet problem , function (biology) , boundary value problem , dirichlet boundary condition , mathematical physics , geometry , evolutionary biology , biology
We prove the existence of hypersurfaces with prescribed boundary whose Weingarten curvature equals a given function that depends on the normal of the hypersurface.