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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Detalles Bibliográficos
Autores principales:	Amster, P., Mariani, M.C.
Formato:	JOUR
Materias:	Boundary value problems Fixed point methods Mean curvature equation Functions Graph theory Set theory Mean curvature equations Surface phenomena
Acceso en línea:	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

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spelling	todo:paper_0362546X_v52_n4_p1069_Amster2023-10-03T15:27:16Z The prescribed mean curvature equation for nonparametric surfaces Amster, P. Mariani, M.C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Amster, P. Mariani, M.C. 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.
format	JOUR
author	Amster, P. Mariani, M.C.
author_facet	Amster, P. Mariani, M.C.
author_sort	Amster, P.
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
url	http://hdl.handle.net/20.500.12110/paper_0362546X_v52_n4_p1069_Amster
work_keys_str_mv	AT amsterp theprescribedmeancurvatureequationfornonparametricsurfaces AT marianimc theprescribedmeancurvatureequationfornonparametricsurfaces AT amsterp prescribedmeancurvatureequationfornonparametricsurfaces AT marianimc prescribedmeancurvatureequationfornonparametricsurfaces
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The prescribed mean curvature equation for nonparametric surfaces

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