Regularity for convex viscosity solutions of Lagrangian mean curvature equation

Arunima Bhattacharya; Ravi Shankar

doi:10.1515/crelle-2023-0056

Regularity for convex viscosity solutions of Lagrangian mean curvature equation

Arunima Bhattacharya
, Ravi Shankar

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	219-232
Number of pages	14
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2023
Issue number	803
DOIs	https://doi.org/10.1515/crelle-2023-0056
State	Published - Oct 1 2023

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Regularity for convex viscosity solutions of Lagrangian mean curvature equation",

abstract = "We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has H{\"o}lder continuous second derivatives.",

author = "Arunima Bhattacharya and Ravi Shankar",

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year = "2023",

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N2 - We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has Hölder continuous second derivatives.

AB - We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has Hölder continuous second derivatives.

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Regularity for convex viscosity solutions of Lagrangian mean curvature equation

Abstract

All Science Journal Classification (ASJC) codes

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