Volume -1 Issue -1 | Duke Mathematical Journal

Advance Publication | 2024

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Non

C^{1}

solutions to the special Lagrangian equation

Connor Mooney, Ovidiu Savin

Duke Math. J. Advance Publication, 1-17, (2024) DOI: 10.1215/00127094-2024-0002

KEYWORDS: special Lagrangian equation, Singular solutions, regularity, 35J60, 35B65

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We construct viscosity solutions to the special Lagrangian equation that are Lipschitz but not $C^{1}$ , and have nonminimal gradient graphs.

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