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Concavity-Free L∞ Estimates and Stability for Fully Nonlinear Complex Equations
Abstract
In this paper, we extend the L∞ estimates of Guo-Phong for fully non-linear equations on compact hermitian manifolds to a possibly indefinite reference form satisfying a uniform admissibility criterion. Furthermore, we also establish one-sided stability estimates. Neither result requires homogeneity or concavity of the nonlinear operator.
Related
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BibTeX
@misc{gowan2026concavityfree,
title = {{Concavity-Free $L^\infty$ Estimates and Stability for Fully Nonlinear Complex Equations}},
author = {Ryan Mc Gowan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31453},
eprint = {2610.31453},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31453},
}
RIS
TY - UNPB
TI - Concavity-Free L^∞ Estimates and Stability for Fully Nonlinear Complex Equations
AU - Ryan Mc Gowan
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31453
UR - https://arxiv.org/abs/2610.31453
AB - In this paper, we extend the L^∞ estimates of Guo-Phong for fully non-linear equations on compact hermitian manifolds to a possibly indefinite reference form satisfying a uniform admissibility criterion. Furthermore, we also establish one-sided stability estimates. Neither result requires homogeneity or concavity of the nonlinear operator.
ER -