Solutions to weighted complex m-Hessian Equations on domains in Cn

2023/07/08 by Nguyen Van Phu, Van Phu, Nguyen, Dieu, Nguyen Quang · 1 citation
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2307.03955

Abstract

In this paper, we first study the comparison principle for the operator H_χ,m. This result is used to solve certain weighted complex m- Hessian equations.

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• A note on the subsolution theorem in weighted energy classes of m-subharmonic functions with given boundary values

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