Gevrey regularity of subelliptic Monge-Ampère equations in the plane

DOI10.1016/j.aim.2011.06.037zbMath1242.35104arXiv0910.1718OpenAlexW2078639403MaRDI QIDQ639573

Hua Chen, Chaojiang Xu, Wei-Xi Li

Publication date: 22 September 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1718

zbMATH Keywords

Gevrey classesMonge-Ampère equationsGevrey regularitysubellipticityfinite type degeneracy

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Subelliptic equations (35H20)

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Cites Work

• A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations
• \(C^ 2\) a priori estimates for degenerate Monge-Ampère equations
• Existence of \(C^{\infty}\) local solutions for the Monge-Ampère equation
• Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
• Régularité Gevrey d'une classe d'opérateurs hypo-elliptiques
• Hypoelliptic differential operators and nilpotent groups
• Regularity of a class of quasilinear degenerate elliptic equations
• On the Dirichlet problem for degenerate Monge-Ampère equations.
• Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
• Sur la régularité Gevrey des opérateurs de Hörmander
• Gevrey Hypoellipticity for a Class of Kinetic Equations
• Regularity of subelliptic Monge-Ampère equations in the plane
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
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