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dc.contributor.advisorRipoll, Jaime Bruckpt_BR
dc.contributor.authorAssmann, Caroline Mariapt_BR
dc.date.accessioned2023-07-12T03:33:35Zpt_BR
dc.date.issued2023pt_BR
dc.identifier.urihttp://hdl.handle.net/10183/261995pt_BR
dc.description.abstractWe consider a helicoidal group G in R n+1 and unbounded Ginvariant C 2,α-domains Ω ⊂ R n+1 whose helicoidal projections are exterior domains in R n, n ≥ 2. We show that for all s ∈ R, there exists a G-invariant solution us ∈ C 2,α Ω of the Dirichlet problem for the minimal surface equation with zero boundary data which satisfies sup∂Ω |grad us| = |s|. Additionally, we provide further information on the behavior of these solutions at infinity.en
dc.format.mimetypeapplication/pdfpt_BR
dc.language.isoengpt_BR
dc.rightsOpen Accessen
dc.subjectDirichlet problemen
dc.subjectProblema de Dirichletpt_BR
dc.subjectInvariant domainen
dc.subjectHelicóidept_BR
dc.subjectEquação de superfície mínimapt_BR
dc.subjectUnbounded domainsen
dc.subjectInvariância de domíniopt_BR
dc.subjectInvariant solutionsen
dc.subjectHelicoidal groupen
dc.titleThe dirichlet problem for the minimal surface equation on unbounded helicoidal domains of Rmpt_BR
dc.typeTesept_BR
dc.contributor.advisor-coAiolfi, Ari Joaopt_BR
dc.identifier.nrb001173050pt_BR
dc.degree.grantorUniversidade Federal do Rio Grande do Sulpt_BR
dc.degree.departmentInstituto de Matemática e Estatísticapt_BR
dc.degree.programPrograma de Pós-Graduação em Matemáticapt_BR
dc.degree.localPorto Alegre, BR-RSpt_BR
dc.degree.date2023pt_BR
dc.degree.leveldoutoradopt_BR


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