The prescribed mean curvature equation for a revolution surface with Dirichlet condition
Author(s) -
Alejandra Maestripieri,
M. C. Mariani
Publication year - 1996
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1105554384
Subject(s) - mean curvature , mathematics , mathematical analysis , dirichlet problem , dirichlet boundary condition , surface of revolution , curvature , bounded function , boundary value problem , surface (topology) , function (biology) , dirichlet distribution , boundary (topology) , geometry , evolutionary biology , biology
We give conditions on a continuous and bounded function H in R 2 to obtain at least two weak solutions of the mean curvature equation with Dirichlet condition for revolution surfaces with boundary, using variational methods.
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