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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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 |
_version_ |
1782027625429991424 |