Capillary Lp Minkowski Flows

Abstract

We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence of smooth solutions to the capillary even Lp Minkowski problem in the Euclidean half-space for all p ∈ (-n-1, ∞) and capillary Lp Minkowski problem for p > n+1.

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