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The Dirichlet problem
for the Lagrangian mean curvature equation
Arunima Bhattacharya |
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Vol. 17 (2024), No. 8, 2719–2736
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Abstract |
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We solve the Dirichlet problem with continuous boundary data for the Lagrangian mean curvature equation on a uniformly convex, bounded domain in . |
Keywords
Lagrangian mean curvature, Dirichlet problem, comparison
principles
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Mathematical Subject Classification
Primary: 35J60
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Milestones
Received: 26 February 2022
Revised: 7 February 2023
Accepted: 27 April 2023
Published: 12 October 2024
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Authors |
| Arunima Bhattacharya | |
| Department of Mathematics University of North Carolina at Chapel Hill Chapel Hill, NC United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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