The Dirichlet problem for the Lagrangian mean curvature equation

In this paper, we solve the Dirichlet problem with continuous boundary data for the Lagrangian mean curvature equation on a uniformly convex, bounded domain in $\mathbb{R}^n$.

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Publication Details

Journal
Analysis & PDE
Published
2024-10-12
DOI
https://doi.org/10.2140/apde.2024.17.2719
Citations
9
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
5.85
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article

The Dirichlet problem for the Lagrangian mean curvature equation

Arunima Bhattacharya
9 citations
Analysis & PDE
Nonlinear Partial Differential Equations
5.85
article

The Dirichlet problem for the Lagrangian mean curvature equation

Arunima Bhattacharya
article en
9 citations

Abstract

In this paper, we solve the Dirichlet problem with continuous boundary data for the Lagrangian mean curvature equation on a uniformly convex, bounded domain in $\mathbb{R}^n$.

Analysis & PDEVol. 17(8)
University of North Carolina at Chapel Hill (US)
Openalex Percentile: Top 4%
Nonlinear Partial Differential Equations
5.85
DOIOpen Access PDFOpenAlex
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The Dirichlet problem for the Lagrangian mean curvature equation — Arunima Bhattacharya · Analysis & PDE (2024) | TGRS Research Map | TGRS