On the Dirichlet problem for special Lagrangian curvature potential equation

Rongli Huang; Yongmei Liang

On the Dirichlet problem for special Lagrangian curvature potential equation

Analysis of PDEs 2022-08-23 v1

Authors: Rongli Huang , Yongmei Liang

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.

Keywords

special lagrangian curvature potential equation dirichlet problem smooth solutions a priori estimates subsolution

Cite

@article{arxiv.2208.10020,
  title  = {On the Dirichlet problem for special Lagrangian curvature potential equation},
  author = {Rongli Huang and Yongmei Liang},
  journal= {arXiv preprint arXiv:2208.10020},
  year   = {2022}
}

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28pages

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