Orlicz–Minkowski flows

نویسندگان

چکیده

Abstract We study the long-time existence and behavior for a class of anisotropic non-homogeneous Gauss curvature flows whose stationary solutions, if they exist, solve regular Orlicz–Minkowski problems. As an application, we obtain old new results even problems; corresponding $$L_p$$ L p version is -Minkowski problem $$p>-n-1$$ > - n 1 . Moreover, employing parabolic approximation method, give proofs some general versions are $$p>0$$ 0 $$p>1$$ In final section, use flow with no global term to -Christoffel–Minkowski type

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ژورنال

عنوان ژورنال: Calculus of Variations and Partial Differential Equations

سال: 2021

ISSN: ['0944-2669', '1432-0835']

DOI: https://doi.org/10.1007/s00526-020-01886-3