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The Dirichlet problem for Lagrangian mean curvature equation

· 2020 · math.AP · arXiv 2005.14420

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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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math.AP 1

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2024 1

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Removing singularities for fully nonlinear PDEs

math.AP · 2024-11-26 · conditional · novelty 6.0

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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  • Removing singularities for fully nonlinear PDEs math.AP · 2024-11-26 · conditional · none · ref 3 · internal anchor

    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.