-estimates for the linearized Monge-Ampère equation
Authors:
Cristian E. Gutiérrez and Federico Tournier
Journal:
Trans. Amer. Math. Soc. 358 (2006), 4843-4872
MSC (2000):
Primary 35B45, 35J60, 35J70
DOI:
https://doi.org/10.1090/S0002-9947-06-04189-4
Published electronically:
June 9, 2006
MathSciNet review:
2231875
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a strictly convex domain and let
be a convex function such that
det
in
. The linearized Monge-Ampère equation is











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Additional Information
Cristian E. Gutiérrez
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Email:
gutierrez@math.temple.edu
Federico Tournier
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
Address at time of publication:
Instituto Argentino de Matemática, Saavedra 15, 1038 Buenos Aires, Argentina
Email:
fedeleti@aol.com
DOI:
https://doi.org/10.1090/S0002-9947-06-04189-4
Keywords:
A priori estimates of second derivatives,
cross sections of solutions,
viscosity solutions,
nonuniformly elliptic equations
Received by editor(s):
August 19, 2004
Published electronically:
June 9, 2006
Additional Notes:
The first author was partially supported by NSF grant DMS–0300004.
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.