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The Dirichlet problem for Lagrangian mean curvature equation

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arxiv 2005.14420 v2 pith:PUDIQG5Z submitted 2020-05-29 math.AP math.DG

Arunima Bhattacharya This is my paper · ORCID
classification math.APmath.DG
keywords curvaturedirichletequationlagrangianmeanproblemboundarybounded
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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 $\mathbb{R}^n$.

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Cited by 1 Pith paper

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  1. Removing singularities for fully nonlinear PDEs

    math.AP 2024-11 conditional novelty 6.0 of 10

    Half-line singularities of viscosity solutions are removable for fully nonlinear elliptic PDEs with a Jacobi inequality, proven by a doubling argument; the single-side version is new.

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