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
| Summary: | 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 |
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