Local pointwise second derivative estimates for strong solutions to the $\sigma_k$-Yamabe equation on Euclidean domains
Analysis of PDEs
2021-08-05 v2 Differential Geometry
Abstract
We prove local pointwise second derivative estimates for positive solutions to the -Yamabe equation on Euclidean domains, addressing both the positive and negative cases. Generalisations for augmented Hessian equations are also considered.
Keywords
Cite
@article{arxiv.2009.06362,
title = {Local pointwise second derivative estimates for strong solutions to the $\sigma_k$-Yamabe equation on Euclidean domains},
author = {Jonah A. J. Duncan and Luc Nguyen},
journal= {arXiv preprint arXiv:2009.06362},
year = {2021}
}
Comments
Updated references, some notation clarified