Regularity of subelliptic Monge-Ampère equations (Q2469878)

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scientific article

Language	Label	Description	Also known as
English	Regularity of subelliptic Monge-Ampère equations	scientific article

Statements

scholarly article

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Regularity of subelliptic Monge-Ampère equations (English)

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Advances in Mathematics

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publication date

11 February 2008

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zbMATH Keywords

partial Legendre transform

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Campanato method

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Calabi identity

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.aim.2007.07.004

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Nonnegative functions as squares or sums of squares

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Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation

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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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Extremal positive semidefinite forms

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Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature

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Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

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Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces

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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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Regularity of a class of quasilinear degenerate elliptic equations

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\(C^ 2\) a priori estimates for degenerate Monge-Ampère equations

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On the Dirichlet problem for degenerate Monge-Ampère equations.

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Isometric embeddings of surfaces with nonnegative curvature in \(\mathbb{R}^ 3\)

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Balls and metrics defined by vector fields. I: Basic properties

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A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations

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Regularity of subelliptic Monge-Ampère equations

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Hypoelliptic differential operators and nilpotent groups

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Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions

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Hölder continuity of weak solutions to subelliptic equations with rough coefficients

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A new method of proof of the subelliptic estimates

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Regularity of generalized solutions of Monge-Ampère equations

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Subelliptic variational problems

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Higher interior regularity for quasilinear subelliptic systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AIM.2007.07.004

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Sitelinks

Mathematics(1 entry)

mardi Publication:2469878

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