English

Regularity for convex viscosity solutions of Lagrangian mean curvature equation

Analysis of PDEs 2023-08-16 v2 Differential Geometry

Abstract

We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has H\"older continuous second derivatives.

Keywords

Cite

@article{arxiv.2006.02030,
  title  = {Regularity for convex viscosity solutions of Lagrangian mean curvature equation},
  author = {Arunima Bhattacharya and Ravi Shankar},
  journal= {arXiv preprint arXiv:2006.02030},
  year   = {2023}
}

Comments

To appear in Crelle's Journal