Artículo
Properties of the solutions to the Monge-Ampère equation
Fecha de publicación:
05/2004
Editorial:
Pergamon-Elsevier Science Ltd
Revista:
Journal Of Nonlinear Analysis
ISSN:
0362-546X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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)).
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
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
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