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

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dc.contributor.authorCanulef-Aguilar, Victor
dc.contributor.authorHenao, Duvan
dc.date.accessioned2025-01-23T19:56:54Z
dc.date.available2025-01-23T19:56:54Z
dc.date.issued2020
dc.description.abstractIn 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 between harmonic extensions and harmonic functions with prescribed Neumann condition on the boundary of the disk (for both interior and exterior problems). A novelty of this work is that we deal directly with the Holder regularity of the single layer potentials of the Dirichlet and Neumann problems for the Poisson equation, something that most of the times seems to be avoided by studying the Newtonian potential.
dc.fuente.origenWOS
dc.identifier.issn0362-1588
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/100720
dc.identifier.wosidWOS:000835337400007
dc.issue.numero4
dc.language.isoen
dc.pagina.final1004
dc.pagina.inicio973
dc.revistaHouston journal of mathematics
dc.rightsacceso restringido
dc.subjectDirichlet problem
dc.subjectNeumann problem
dc.subjectelliptic regularity
dc.titleHOLDER ESTIMATES FOR THE NEUMANN PROBLEM IN A DOMAIN WITH HOLES AND A RELATION FORMULA BETWEEN THE DIRICHLET AND NEUMANN PROBLEMS
dc.typeartículo
dc.volumen46
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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