Solutions of H-systems using the Green function

We find a solution to the mean curvature equation with Dirichlet condition using the Green representation formula. Moreover, given Ho and go for which there exists a solution to the problem, we prove that for H and g in appropriate neighborhoods of Ho and go, there still exists a solution.

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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, Mariani, María Cristina, Rial, Diego Fernando
Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13701444_v7_n4_p487_Amster
http://hdl.handle.net/20.500.12110/paper_13701444_v7_n4_p487_Amster
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Descripción
Sumario:We find a solution to the mean curvature equation with Dirichlet condition using the Green representation formula. Moreover, given Ho and go for which there exists a solution to the problem, we prove that for H and g in appropriate neighborhoods of Ho and go, there still exists a solution.