Prescribed mean curvature equation with Dirichlet conditions

The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given...

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Autores principales: Amster, P., Mariani, M.C.
Formato: JOUR
Materias:
Boundary conditions
Harmonic analysis
Mathematical operators
Problem solving
Theorem proving
Dirichlet conditions
Mean curvature equations
Nonlinear equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v44_n1_p59_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0362546X_v44_n1_p59_Amster
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spelling todo:paper_0362546X_v44_n1_p59_Amster2023-10-03T15:27:14Z Prescribed mean curvature equation with Dirichlet conditions Amster, P. Mariani, M.C. Boundary conditions Harmonic analysis Mathematical operators Problem solving Theorem proving Dirichlet conditions Mean curvature equations Nonlinear equations The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given continuous function. The problem above arises in the Plateau and Dirichlet problems for the prescribed mean curvature equation that has been studied. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0362546X_v44_n1_p59_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 conditions
Harmonic analysis
Mathematical operators
Problem solving
Theorem proving
Dirichlet conditions
Mean curvature equations
Nonlinear equations
spellingShingle Boundary conditions
Harmonic analysis
Mathematical operators
Problem solving
Theorem proving
Dirichlet conditions
Mean curvature equations
Nonlinear equations
Amster, P.
Mariani, M.C.
Prescribed mean curvature equation with Dirichlet conditions
topic_facet Boundary conditions
Harmonic analysis
Mathematical operators
Problem solving
Theorem proving
Dirichlet conditions
Mean curvature equations
Nonlinear equations
description The Dirichlet problem in a bounded C1,1 domain Ω⊂R2 for a vector function X:Ω̄→R3 which satisfies the equation of prescribed mean curvature ΔX = 2H(u,v,X,X,u,Xv)XuΛXv in Ω, X = g in ∂Ω, (1) is considered, where Xu = ∂X/∂u, Xv = ∂X/∂v, Λ denotes the exterior product in R3 and H:Ω̄×(R3)3→R is a given continuous function. The problem above arises in the Plateau and Dirichlet problems for the prescribed mean curvature equation that has been studied.
format JOUR
author Amster, P.
Mariani, M.C.
author_facet Amster, P.
Mariani, M.C.
author_sort Amster, P.
title Prescribed mean curvature equation with Dirichlet conditions
title_short Prescribed mean curvature equation with Dirichlet conditions
title_full Prescribed mean curvature equation with Dirichlet conditions
title_fullStr Prescribed mean curvature equation with Dirichlet conditions
title_full_unstemmed Prescribed mean curvature equation with Dirichlet conditions
title_sort prescribed mean curvature equation with dirichlet conditions
url http://hdl.handle.net/20.500.12110/paper_0362546X_v44_n1_p59_Amster
work_keys_str_mv AT amsterp prescribedmeancurvatureequationwithdirichletconditions
AT marianimc prescribedmeancurvatureequationwithdirichletconditions
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