Work

Concavity-Free $L^\infty$ Estimates and Stability for Fully Nonlinear Complex Equations

Year: 2026
Type: preprint
Abstract: In this paper, we extend the $L^\infty$ 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.
Language: English
Open Access status: green
OpenAlex ID: W7223311622
Cites: 2
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Related to: 10