The prescribed mean curvature equation for nonparametric surfaces

We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence resul...

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Guardado en:
Detalles Bibliográficos
Publicado: 2003
Materias:
Boundary value problems
Fixed point methods
Mean curvature equation
Functions
Graph theory
Set theory
Mean curvature equations
Surface phenomena
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v52_n4_p1069_Amster
http://hdl.handle.net/20.500.12110/paper_0362546X_v52_n4_p1069_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0362546X_v52_n4_p1069_Amster
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spelling paper:paper_0362546X_v52_n4_p1069_Amster2023-06-08T15:35:18Z The prescribed mean curvature equation for nonparametric surfaces Boundary value problems Fixed point methods Mean curvature equation Boundary value problems Functions Graph theory Set theory Mean curvature equations Surface phenomena We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence results for a boundary value problem which generalizes the one-dimensional periodic problem for the mean curvature equation. © 2002 Published by Elsevier Science Ltd. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v52_n4_p1069_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v52_n4_p1069_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Boundary value problems
Fixed point methods
Mean curvature equation
Boundary value problems
Functions
Graph theory
Set theory
Mean curvature equations
Surface phenomena
spellingShingle Boundary value problems
Fixed point methods
Mean curvature equation
Boundary value problems
Functions
Graph theory
Set theory
Mean curvature equations
Surface phenomena
The prescribed mean curvature equation for nonparametric surfaces
topic_facet Boundary value problems
Fixed point methods
Mean curvature equation
Boundary value problems
Functions
Graph theory
Set theory
Mean curvature equations
Surface phenomena
description We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W2,p. We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W2,p. Moreover, we obtain existence results for a boundary value problem which generalizes the one-dimensional periodic problem for the mean curvature equation. © 2002 Published by Elsevier Science Ltd.
title The prescribed mean curvature equation for nonparametric surfaces
title_short The prescribed mean curvature equation for nonparametric surfaces
title_full The prescribed mean curvature equation for nonparametric surfaces
title_fullStr The prescribed mean curvature equation for nonparametric surfaces
title_full_unstemmed The prescribed mean curvature equation for nonparametric surfaces
title_sort prescribed mean curvature equation for nonparametric surfaces
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v52_n4_p1069_Amster
http://hdl.handle.net/20.500.12110/paper_0362546X_v52_n4_p1069_Amster
_version_ 1768541847326556160

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