Results 81 to 90 of about 13,857 (195)
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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Isoperimetric inequalities for conformal moments of plane domains
Journal of Inequalities and Applications, 2002 We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
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Accelerating black hole chemistry
Physics Letters B, 2019 We introduce a new set of chemical variables for the accelerating black hole. We show how these expressions suggest that conical defects emerging from a black hole can be considered as true hair – a new charge that the black hole can carry – and discuss ...
Ruth Gregory, Andrew Scoins
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Optimal isoperimetric inequalities [PDF]
Bulletin of the American Mathematical Society, 1985 We make precise and prove the following four heuristic statements: 1. Optimal isoperimetric inequality. Corresponding to each m-1 dimensional closed surface T in \(R^ n\) there is an m dimensional surface Q having T as boundary such that \(| Q| \leq \gamma (m)| T|^{m/(m-1)}\) with equality if and only if T is a standard round m-1 sphere (of some radius)
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Characterization of Low Dimensional RCD*(K, N) Spaces
Analysis and Geometry in Metric Spaces, 2016 In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets.
Kitabeppu Yu, Lakzian Sajjad
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Thermodynamic volume of cosmological solitons
Physics Letters B, 2017 We present explicit expressions of the thermodynamic volume inside and outside the cosmological horizon of Eguchi–Hanson solitons in general odd dimensions.
Saoussen Mbarek, Robert B. Mann
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Shape of extremal functions for weighted Sobolev-type inequalities
Advances in Nonlinear AnalysisWe study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann +3 more
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Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume
Galaxies, 2014 In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in ...
Natacha Altamirano +3 more
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Weighted fractional Poincaré inequalities via isoperimetric inequalities
Calculus of Variations and Partial Differential EquationsAbstractOur main result is a weighted fractional Poincaré–Sobolev inequality improving the celebrated estimate by Bourgain–Brezis–Mironescu. This also yields an improvement of the classical Meyers–Ziemer theorem in several ways. The proof is based on a fractional isoperimetric inequality and is new even in the non-weighted setting.
Kim Myyryläinen +2 more
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