Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian

In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free boundary point. We also obtain further regularity results on the free...

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Detalles Bibliográficos
Autores principales: Lederman, Claudia Beatriz, Wolanski, Noemi Irene
Publicado: 2017
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14639963_v19_n2_p201_Lederman
http://hdl.handle.net/20.500.12110/paper_14639963_v19_n2_p201_Lederman
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