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dc.contributor.author
Caffarelli, Luis
dc.contributor.author
Duque, Luis
dc.contributor.author
Vivas, Hernán Agustín
dc.date.available
2020-03-26T18:44:31Z
dc.date.issued
2018-12
dc.identifier.citation
Caffarelli, Luis; Duque, Luis; Vivas, Hernán Agustín; The two membranes problem for fully nonlinear operators; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 38; 12; 12-2018; 6015-6027
dc.identifier.issn
1078-0947
dc.identifier.uri
http://hdl.handle.net/11336/100972
dc.description.abstract
We study the two membranes problem for two different fully nonlinear operators. We give a viscosity formulation for the problem and prove existence of solutions. Then we prove a general regularity result and the optimal C1,1 regularity when the operators are the Pucci extremal operators. We also give an example that shows that no regularity for the free boundary is to be expected to hold in general.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.relation
http://hdl.handle.net/11336/92009
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FREE BOUNDARY PROBLEMS
dc.subject
FULLY NONLINEAR
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The two membranes problem for fully nonlinear operators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-03-25T14:01:39Z
dc.journal.volume
38
dc.journal.number
12
dc.journal.pagination
6015-6027
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Springfield
dc.description.fil
Fil: Caffarelli, Luis. University of Texas at Austin; Estados Unidos
dc.description.fil
Fil: Duque, Luis. University of Texas at Austin; Estados Unidos
dc.description.fil
Fil: Vivas, Hernán Agustín. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina
dc.journal.title
Discrete And Continuous Dynamical Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/article/doi/10.3934/dcds.2018152
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/dcds.2018152
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1708.09420
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