Web1 day ago · ShardingSphere-JDBC load-balancing solution. ShardingSphere-JDBC is a lightweight Java framework with additional services in the JDBC layer. ShardingSphere-JDBC adds computational operations before the application performs database operations. The application process still connects directly to the database through the database driver. WebAbstract: We investigate several conformal invariant functional inequalities on the sphere by interpreting them as inequalities for spacelike sections of the Minkowski lightcone, where the conformal invariance is equivalent to the Lorentz invariance. With this interpretation, we introduce a method combining the symmetrisation and the Lorentz transformation to give …
TheLogarithmicMinkowskiconjectureandthe L
WebJun 5, 2012 · Logarithmic Minkowski problem. Findnecessaryandsufficientconditionson a finite Borel measure μ on the unit sphere Sn−1 so that μ is the cone-volume … WebOct 1, 2024 · Abstract: The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture … the crossett light
Applied Mathematical Seminar25: Conformal invariant functional ...
WebIn the classical Minkowski problem in Rn+1 one wants to find a strictly convex closed hypersurface M⊂ Rn+1 such that its Gauß curvature Kequals a given function fdefined … WebAbstract. In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume … WebMinkowski problem, in general, amounts to solving a degenerate fully non-linear partial differential equation. The study of Minkowski problems has a long history and strong ... (K,·) on the unit sphere Sn−1, which is called the j-th curvature measure of K. The measure C 0(K,·) was first defined by Aleksandrov, who called it the integral the crossed bison in the nave