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Interior estimates for Monge-Ampère equation in terms of modulus of continuity

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Publication:2219459
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DOI10.1016/j.jfa.2020.108893zbMath1458.35213arXiv2005.02542OpenAlexW3113221616MaRDI QIDQ2219459

Bin Cheng, Thomas O'Neill

Publication date: 20 January 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02542

zbMATH Keywords

Monge-Ampère equationinterior estimates


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96)




Cites Work

  • Unnamed Item
  • Nonlinear bounds in Hölder spaces for the Monge-Ampère equation
  • The Monge-Ampère equation and its applications
  • Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
  • A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
  • The Dini condition and regularity of weak solutions of elliptic equations
  • Elliptic partial differential equations of second order
  • Some regularity properties of solutions of Monge Ampère equation
  • Fully nonlinear elliptic equations and the dini condition
  • Continuity Estimates for the Monge–Ampère Equation
  • The Monge-Ampère equation
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