Uniform estimates: from Yau to Kolodziej
Vincent Guedj, Chinh H. Lu
TL;DR
This paper introduces a new approach to obtaining uniform estimates for solutions to complex Monge-Ampere equations and related geometric PDEs with determinantal majorization, improving efficiency and generality.
Contribution
It presents a novel and efficient method for uniform estimates applicable to complex Monge-Ampere equations and geometric PDEs with determinantal majorization.
Findings
New approach simplifies obtaining uniform estimates.
Applicable to a broad class of complex Monge-Ampere equations.
Enhances understanding of solutions' behavior in geometric PDEs.
Abstract
In this note we provide a new and efficient approach to uniform estimates for solutions to complex Monge-Ampere equations, as well as for solutions to geometric PDE's that satisfy a determinantal majorization.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons