The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems

In this paper, combining the p -capacity for p ∈ ( 1 , n ) with the Orlicz addition of convex domains, we develop the p -capacitary Orlicz–Brunn–Minkowski theory. In particular, the Orlicz L ϕ mixed p -capacity of two convex domains is introduced and its geometric interpretation is obtained by the p...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2018-02, Vol.57 (1), p.1-31, Article 5
Hauptverfasser:	Hong, Han, Ye, Deping, Zhang, Ning
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus of Variations and Optimal Control Optimization Control Differential geometry Inequalities Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical
Online-Zugang:	Volltext
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