Abstract
A new proof for stability estimates for the complex Monge-Ampère and Hessian equations is given, which does not require pluripotential theory. A major advantage is that the resulting stability estimates are then uniform under general degenerations of the background metric in the case of the Monge-Ampère equation, and under degenerations to a big class in the case of Hessian equations.
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Communicated by Andrea Mondino.
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Guo, B., Phong, D.H. & Tong, F. Stability estimates for the complex Monge-Ampère and Hessian equations. Calc. Var. 62, 7 (2023). https://doi.org/10.1007/s00526-022-02344-y
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DOI: https://doi.org/10.1007/s00526-022-02344-y