Concentrated terms and varying domains in elliptic equations: Lipschitz case

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dc.citation.issue12
dc.citation.volume39
dc.contributor.authorAragao, Gleiciane S. [UNIFESP]
dc.contributor.authorBruschi, Simone M.
dc.coverageHoboken
dc.date.accessioned2020-08-14T13:44:03Z
dc.date.available2020-08-14T13:44:03Z
dc.date.issued2016
dc.description.abstractIn this paper, we analyze the behavior of a family of solutions of a nonlinear elliptic equation with nonlinear boundary conditions, when the boundary of the domain presents a highly oscillatory behavior, which is uniformly Lipschitz and nonlinear terms, are concentrated in a region, which neighbors the boundary of domain. We prove that this family of solutions converges to the solutions of a limit problem in H(1)an elliptic equation with nonlinear boundary conditions which captures the oscillatory behavior of the boundary and whose nonlinear terms are transformed into a flux condition on the boundary. Indeed, we show the upper semicontinuity of this family of solutions.Copyright (c) 2015 John Wiley & Sons, Ltd.en
dc.description.affiliationUniv Fed Sao Paulo, Dept Ciencias Exatas & Terra, Rua Prof Artur Riedel 275, BR-09972270 Diadema, SP, Brazil
dc.description.affiliationUniv Brasilia, Dept Matemat, ICC Ctr, Campus Univ Darcy Ribeiro,Bloco A, BR-70910900 Brasilia, DF, Brazil
dc.description.affiliationUnifespUniv Fed Sao Paulo, Dept Ciencias Exatas & Terra, Rua Prof Artur Riedel 275, BR-09972270 Diadema, SP, Brazil
dc.description.sourceWeb of Science
dc.description.sponsorshipCNPq, Brazil
dc.description.sponsorshipFEMAT-Brazil
dc.description.sponsorshipIDCNPq: 475146/2013-1
dc.format.extent3450-3460
dc.identifierhttp://dx.doi.org/10.1002/mma.3791
dc.identifier.citationMathematical Methods In The Applied Sciences. Hoboken, v. 39, n. 12, p. 3450-3460, 2016.
dc.identifier.doi10.1002/mma.3791
dc.identifier.issn0170-4214
dc.identifier.urihttps://repositorio.unifesp.br/handle/11600/57497
dc.identifier.wosWOS:000379947400022
dc.language.isoeng
dc.publisherWiley-Blackwell
dc.relation.ispartofMathematical Methods In The Applied Sciences
dc.rightsAcesso restrito
dc.subjectsemilinear elliptic equationsen
dc.subjectnonlinear boundary value problemsen
dc.subjectvarying boundaryen
dc.subjectoscillatory behavioren
dc.subjectconcentrated termsen
dc.subjectupper semicontinuity of solutionsen
dc.titleConcentrated terms and varying domains in elliptic equations: Lipschitz caseen
dc.typeArtigo
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