Solutions to the mean curvature equation by fixed point methods

We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation.

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Detalles Bibliográficos
Autores principales: Mariani, María Cristina, Rial, Diego Fernando
Publicado: 1997
Materias:
Dirichlet problem
Fixed points
Mean curvature
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani
http://hdl.handle.net/20.500.12110/paper_13701444_v4_n5_p617_Mariani
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13701444_v4_n5_p617_Mariani
record_format dspace
spelling paper:paper_13701444_v4_n5_p617_Mariani2023-06-08T16:12:14Z Solutions to the mean curvature equation by fixed point methods Mariani, María Cristina Rial, Diego Fernando Dirichlet problem Fixed points Mean curvature We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani http://hdl.handle.net/20.500.12110/paper_13701444_v4_n5_p617_Mariani
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dirichlet problem
Fixed points
Mean curvature
spellingShingle Dirichlet problem
Fixed points
Mean curvature
Mariani, María Cristina
Rial, Diego Fernando
Solutions to the mean curvature equation by fixed point methods
topic_facet Dirichlet problem
Fixed points
Mean curvature
description We give conditions on the boundary data, in order to obtain at least one solution for the problem (1) below, with H a smooth function. Our motivation is a better understanding of the Plateau's problem for the prescribed mean curvature equation.
author Mariani, María Cristina
Rial, Diego Fernando
author_facet Mariani, María Cristina
Rial, Diego Fernando
author_sort Mariani, María Cristina
title Solutions to the mean curvature equation by fixed point methods
title_short Solutions to the mean curvature equation by fixed point methods
title_full Solutions to the mean curvature equation by fixed point methods
title_fullStr Solutions to the mean curvature equation by fixed point methods
title_full_unstemmed Solutions to the mean curvature equation by fixed point methods
title_sort solutions to the mean curvature equation by fixed point methods
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v4_n5_p617_Mariani
http://hdl.handle.net/20.500.12110/paper_13701444_v4_n5_p617_Mariani
work_keys_str_mv AT marianimariacristina solutionstothemeancurvatureequationbyfixedpointmethods
AT rialdiegofernando solutionstothemeancurvatureequationbyfixedpointmethods
_version_ 1768546174761959424

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