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

dc.creatorLederman, Claudia Beatriz
dc.creatorWolanski, Noemi Irene
dc.date.accessioned2018-10-24T20:25:48Z
dc.date.accessioned2018-11-06T11:48:16Z
dc.date.available2018-10-24T20:25:48Z
dc.date.available2018-11-06T11:48:16Z
dc.date.created2018-10-24T20:25:48Z
dc.date.issued2017-04
dc.identifierLederman, Claudia Beatriz; Wolanski, Noemi Irene; Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian; European Mathematical Society; Interfaces And Free Boundaries; 19; 2; 4-2017; 201-241
dc.identifier1463-9963
dc.identifierhttp://hdl.handle.net/11336/63022
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1859702
dc.description.abstractIn 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 boundary, under further regularity assumptions on the data. We apply these results to limit functions of an inhomogeneous singular perturbation problem for the p (x)-Laplacian that we studied in [25].
dc.languageeng
dc.publisherEuropean Mathematical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/IFB/381
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=19&iss=2&rank=3
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFREE BOUNDARY PROBLEM
dc.subjectINHOMOGENEOUS PROBLEM
dc.subjectREGULARITY OF THE FREE BOUNDARY
dc.subjectSINGULAR PERTURBATION
dc.subjectVARIABLE EXPONENT SPACES
dc.titleWeak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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