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The interior C2 estimate for equation detD2u = f(x,∇u) in dimension two

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Publication:4584430
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DOI10.1142/S0129167X18500593zbMath1400.35150OpenAlexW2810031066MaRDI QIDQ4584430

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Publication date: 3 September 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500593

zbMATH Keywords

Monge-Ampère equationinterior \(C^2\) estimate


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • The interior \(C^2\) estimate for the Monge-Ampère equation in dimension \(n = 2\)
  • Optimal concavity of some Hessian operators and the prescribed \(\sigma_2\) curvature measure problem
  • On elliptic Monge-Ampère equations and Weyl's embedding problem
  • Hessian estimates for the sigma‐2 equationin dimension 3
  • A variational theory of the Hessian equation
  • Global C2‐Estimates for Convex Solutions of Curvature Equations
  • Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
  • Pinching estimates and motion of hypersurfaces by curvature functions
  • An interior estimate for convex solutions and a rigidity theorem
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