A note on the two-dimensional Lagrangian mean curvature equation

DOI10.2140/pjm.2022.318.43zbMath1497.35194arXiv2110.01728OpenAlexW3202281742MaRDI QIDQ2160164

Arunima Bhattacharya

Publication date: 3 August 2022

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

Full work available at URL: https://arxiv.org/abs/2110.01728

zbMATH Keywords

Hessian estimatessupercritical phasecritical phasetwo-dimensional Lagrangian mean curvature equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (1)

Regularity for convex viscosity solutions of Lagrangian mean curvature equation

Cites Work

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• Global solutions to special Lagrangian equations
• Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
• A priori estimate for convex solutions to special Lagrangian equations and its application
• Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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