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dc.contributor.CRUESPUNIVERSIDADE DE ESTADUAL DE CAMPINASpt
dc.identifier.isbnpt
dc.typeArtigo de periódicopt
dc.titleRegularity For Degenerate Two-phase Free Boundary Problemspt
dc.contributor.authorLeitao R.pt
dc.contributor.authorde Queiroz O.S.pt
dc.contributor.authorTeixeira E.V.pt
unicamp.authorde Queiroz, O.S., Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, Campinas, SP, CEP 13083-859, Brazilpt
unicamp.author.externalLeitão, R., CMUC, Department of Mathematics, University of Coimbra, 3001-501, Coimbra, Portugalpt
unicamp.author.externalTeixeira, E.V., Universidade Federal do Ceará, Campus of Pici, Bloco 914, Fortaleza, Ceará, 60455-760, Brazilpt
dc.description.abstractWe provide a rather complete description of the sharp regularity theory to a family of heterogeneous, two-phase free boundary problems, Jγ→min, ruled by nonlinear, p-degenerate elliptic operators. Included in such family are heterogeneous cavitation problems of Prandtl-Batchelor type, singular degenerate elliptic equations; and obstacle type systems. The Euler-Lagrange equation associated to Jγ becomes singular along the free interface {u=0}. The degree of singularity is, in turn, dimmed by the parameter γ∈[0,1]. For 0<γ<1 we show that local minima are locally of class C1,α for a sharp α that depends on dimension, p and γ. For γ=0 we obtain a quantitative, asymptotically optimal result, which assures that local minima are Log-Lipschitz continuous. The results proven in this article are new even in the classical context of linear, nondegenerate equations.en
dc.relation.ispartofAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysispt_BR
dc.publisherElsevier Masson SASpt
dc.date.issued2015pt
dc.identifier.citationAnnales De L'institut Henri Poincare. Annales: Analyse Non Lineaire/nonlinear Analysis. Elsevier Masson Sas, v. , n. , p. - , 2015.pt
dc.language.isoenpt
dc.description.volumept
dc.description.issuenumberpt
dc.description.initialpagept
dc.description.lastpagept
dc.rightsabertopt
dc.sourceScopuspt
dc.identifier.issn2941449pt
dc.identifier.doi10.1016/j.anihpc.2014.03.004pt
dc.identifier.urlhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84921444810&partnerID=40&md5=df8e21bb366676e1591c6da42067d300en
dc.date.available2015-06-25T12:51:08Z
dc.date.available2015-11-26T14:58:20Z-
dc.date.accessioned2015-06-25T12:51:08Z
dc.date.accessioned2015-11-26T14:58:20Z-
dc.description.provenanceMade available in DSpace on 2015-06-25T12:51:08Z (GMT). No. of bitstreams: 1 2-s2.0-84921444810.pdf: 924787 bytes, checksum: f14a195dc586f1cb6462ccd554ae4528 (MD5) Previous issue date: 2015en
dc.description.provenanceMade available in DSpace on 2015-11-26T14:58:20Z (GMT). No. of bitstreams: 2 2-s2.0-84921444810.pdf: 924787 bytes, checksum: f14a195dc586f1cb6462ccd554ae4528 (MD5) 2-s2.0-84921444810.pdf.txt: 56788 bytes, checksum: 00fab22ab42cd0760e9033d35ae3aaf1 (MD5) Previous issue date: 2015en
dc.identifier.urihttp://www.repositorio.unicamp.br/handle/REPOSIP/85216
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/85216-
dc.identifier.idScopus2-s2.0-84921444810pt
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