A flow approach to the Musielak-Orlicz-Gauss image problem
Qi-Rui Li,
Weimin Sheng,
Deping Ye
et al.
Abstract:In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure C G,Ψ,λ (Ω, •) of convex body Ω in R n+1 containing the origin (but the origin is not necessary in its interior). In particular, we provide solutions to the extended Musielak-Orlicz-Gauss image problem based on the study of suitably designed parabolic flows, and by the use of approximation technique (for general measures). Our parabolic flows involve two Musiel… Show more
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