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15 October 2024 Non C1 solutions to the special Lagrangian equation
Connor Mooney, Ovidiu Savin
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Duke Math. J. 173(15): 2929-2945 (15 October 2024). DOI: 10.1215/00127094-2024-0002

Abstract

We construct viscosity solutions to the special Lagrangian equation that are Lipschitz but not C1, and have nonminimal gradient graphs.

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Connor Mooney. Ovidiu Savin. "Non C1 solutions to the special Lagrangian equation." Duke Math. J. 173 (15) 2929 - 2945, 15 October 2024. https://doi.org/10.1215/00127094-2024-0002

Information

Received: 28 April 2023; Revised: 7 November 2023; Published: 15 October 2024
First available in Project Euclid: 30 September 2024

Digital Object Identifier: 10.1215/00127094-2024-0002

Subjects:
Primary: 35J60
Secondary: 35B65

Keywords: regularity , Singular solutions , special Lagrangian equation

Rights: Copyright © 2024 Duke University Press

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Vol.173 • No. 15 • 15 October 2024
Duke University Press
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