Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs

DOI10.1007/978-3-319-00942-1_2zbMath1288.35002OpenAlexW1573882MaRDI QIDQ5396573

Pengfei Guan

Publication date: 31 January 2014

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00942-1_2

zbMATH Keywords

Steiner formula\(k\)-convex starshaped domains\(k\)-curvature elliptic equationisoperimatric inequalities

Mathematics Subject Classification ID

Related Items (13)

Locally constrained curvature flows and geometric inequalities in hyperbolic space ⋮ Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality ⋮ Geometric inequalities for static convex domains in hyperbolic space ⋮ Mean curvature type flow and sharp Michael-Simon inequalities ⋮ Prescribed curvature measure problem in hyperbolic space ⋮ Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms ⋮ New weighted geometric inequalities for hypersurfaces in space forms ⋮ A Heintze-Karcher type inequality in hyperbolic space ⋮ Harmonic mean curvature flow and geometric inequalities ⋮ The GBC mass for asymptotically hyperbolic manifolds ⋮ Curvature estimates for immersed hypersurfaces in Riemannian manifolds ⋮ Alexandrov-Fenchel type inequalities in the sphere ⋮ A fully nonlinear locally constrained anisotropic curvature flow

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