HOLDER ESTIMATES FOR THE NEUMANN PROBLEM IN A DOMAIN WITH HOLES AND A RELATION FORMULA BETWEEN THE DIRICHLET AND NEUMANN PROBLEMS

In this paper we study the dependence of the Holder estimates on the geometry of a domain with holes for the Neumann problem. For this, we study the Holder regularity of the solutions to the Dirichlet and Neumann problems in the disk (and in the exterior of the disk), from which we get a relation be...

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Detalles Bibliográficos
Autores principales: Canulef-Aguilar, Victor, Henao, Duvan
Formato: Artículo (Article)
Idioma:Inglés (English)
Publicado: 2025
Materias:
Acceso en línea:https://repositorio.uc.cl/handle/11534/100720