The plateau problem for the prescribed mean curvature equation

Given a Jordan curve r in Tin R3 and H : R3 → R3  a continuous and bounded function, we consider the Plateau problem in the unit disc B = {(u, v) ∈ R3 ; u2 +v2 and lt; I}, .i.e we look for a vector function X : B→R3 which satisfies the following system of nonlinear differential equations

Autores:
Lami Dozo, E.
Mariani, M. C.
Tipo de recurso:
Article of journal
Fecha de publicación:
1993
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43601
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43601
http://bdigital.unal.edu.co/33699/
Palabra clave:
Jordan curve
continuous and bounded function
Plateau problem
vector function
nonlinear differential equations
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional