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Nonlinear Analysis

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Ling Xiao, University of Connecticut

Location:  Hill 705
Date & time: Tuesday, 21 November 2023 at 1:40PM - 1:40PM

Abstract: In this talk, we will talk about the proof of a sharp generalized Minkowski inequality that holds for any smooth, strictly \((k-1)\)-convex, star-shaped domain \(Omega\). Our proof relies on the solvability of the degenerate k-Hessian equation on the exterior domain \(R^nsetminusOmega.\)