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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