- A simple proof of reverse Sobolev inequalities on the sphere and Sobolev trace inequalities on the unit ball
2025/03/26 by Gong, Runmin, Qiaohua Yang, Shihong Zhang +2 · 2 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Ball (mathematics) #Epistemology #FOS: Mathematics #Fatigue and fracture mechanics #Inequality #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Pure mathematics #Simple (philosophy) #Sobolev inequality #Sobolev space #TRACE (psycholinguistics) #Unit sphere
- A Sharp Inequality on the Exponentiation of Functions on the Sphere
2021/09/27 by Sun‐Yung A. Chang, Changfeng Gui, Chang, Sun-Yung Alice +1 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Center (category theory) #Differential Geometry (math.DG) #Exponentiation #FOS: Mathematics #Hölder's inequality #Inequality #Kantorovich inequality #Limit (mathematics) #Linear inequality #Log sum inequality #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Rearrangement inequality #Spectral Theory in Mathematical Physics #Unit (ring theory) #Unit circle #Unit sphere #Young's inequality
- Asymptotic behavior of flows by powers of the Gaussian curvature
2016/10/27 by Simon Brendle, Kyeongsu Choi, Brendle, Simon +3 · 20 citations
Mathematics · #Affine transformation #Combinatorics #Curvature #Ellipsoid #Flow (mathematics) #Gaussian curvature #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Point processes and geometric inequalities #Pure mathematics #Regular polygon #Unit sphere #Unit vector
- A proof of a weak version of the Bieberbach conjecture in several complex variables
2015/04/16 by XiaoSong Liu, Taishun Liu, TaiShun Liu +2 · 1 citation
Mathematics · #Analytic and geometric function theory #Ball (mathematics) #Combinatorics #Conjecture #Differential Equations and Boundary Problems #Holomorphic and Operator Theory #Homogeneous #Mathematical analysis #Mathematics #Mathematics education #Pure mathematics #Several complex variables #Unit (ring theory) #Unit sphere #Variable (mathematics)
- The Strong Thirteen Spheres Problem
2010/02/28 by Oleg Musin, Oleg R. Musin, Alexey S. Tarasov +1 · 1 citation
Computer Science · Mathematics · #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Digital Image Processing Techniques #Enumeration #Geometry #Mathematical Approximation and Integration #Mathematics #Physics #RADIUS #SPHERES #Unit (ring theory) #Unit sphere #Van der Waerden's theorem #math.CO #math.MG #msc:05B40 #msc:52C15
- The dodecahedral conjecture
2009/10/27 by Thomas Hales, Sean McLaughlin · 1 citation
Mathematics · Physics and Astronomy · Engineering · #Mathematics and Applications #Advanced Mathematical Theories and Applications #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Dodecahedron #Mathematics #Polyhedron #Conjecture #RADIUS #Voronoi diagram #Unit (ring theory) #Combinatorics #Volume (thermodynamics) #Unit sphere #Mixed volume #Geometry #Regular polygon #Convex body #Physics #Computer science #Mathematics education