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arXiv · 2208.10020

On the Dirichlet problem for special Lagrangian curvature potential equation

Rongli Huang·Yongmei Liang
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Abstract

In this paper, we study a class of special Lagrangian curvature potential equations and obtain the existence of smooth solutions for Dirichlet problem. The existence result is based on a priori estimates of global $C^{0}$, $C^{1}$ and $C^{2}$ norms of solutions under the assumption of existence of a subsolution.

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Rongli Huang, Yongmei Liang. 2022-08-22. On the Dirichlet problem for special Lagrangian curvature potential equation. https://arxiv.org/abs/2208.10020

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