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dc.contributor.author
Forzani, Liliana Maria  
dc.contributor.author
Maldonado, Diego  
dc.date.available
2020-03-23T12:53:58Z  
dc.date.issued
2004-05  
dc.identifier.citation
Forzani, Liliana Maria; Maldonado, Diego; Properties of the solutions to the Monge-Ampère equation; Pergamon-Elsevier Science Ltd; Journal Of Nonlinear Analysis; 57; 5-6; 5-2004; 815-829  
dc.identifier.issn
0362-546X  
dc.identifier.uri
http://hdl.handle.net/11336/100624  
dc.description.abstract
We consider solutions to the equation detD2φ=μ when μ has a doubling property. We prove new geometric characterizations for this doubling property (by means of the so-called engulfing property) and deduce the quantitative behaviour of φ. Also, a constructive approach to the celebrated C1,β-estimates proved by L. Caffarelli is presented, settling one of the open questions posed by Villani (Amer. Math. Soc. 58 (2003)).  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Pergamon-Elsevier Science Ltd  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
MONGE-AMPÈRE EQUATION  
dc.subject
MONGE-AMPÈRE MEASURE  
dc.subject
SECTIONS OF CONVEX FUNCTIONS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Properties of the solutions to the Monge-Ampère equation  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-20T20:04:25Z  
dc.journal.volume
57  
dc.journal.number
5-6  
dc.journal.pagination
815-829  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Forzani, Liliana Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.description.fil
Fil: Maldonado, Diego. University Of Kansas, Lawrence;  
dc.journal.title
Journal Of Nonlinear Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.na.2004.03.019  

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