The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality

DOI10.1007/s11425-021-1884-1zbMath1491.53052arXiv2012.13933OpenAlexW3208204193MaRDI QIDQ2115299

Jiabin Yin, Chao Xia

Publication date: 15 March 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13933

zbMATH Keywords

nonlinear potential theoryMinkowski inequalityanisotropic mean curvature\(p\)-capacityanisotropic \(p\)-Laplacian

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Mixed volumes and related topics in convex geometry (52A39) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potentials and capacities on other spaces (31C15)

Related Items (4)

An exterior overdetermined problem for Finsler \(N\)-Laplacian in convex cones ⋮ Two overdetermined problems for anisotropic \(p \)-Laplacian ⋮ Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature ⋮ A Green's function proof of the positive mass theorem

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