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Convex and Discrete Geometry
[4]
Affine Orlicz Pólya–Szegö Principles and Their Equality Cases
Youjiang Lin
Chongqing Technology and Business University
Dongmeng Xi
Shanghai University; Fudan University
Convex and Discrete Geometry
mathscidoc:2112.40002
International Mathematics Research Notices, (9), 7159-7204, 2021.1
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The conjecture about the Orlicz Pólya–Szegö principle posed in [42] is proved. The cases of equality are characterized in the affine Orlicz Pólya–Szegö principle with respect to Steiner symmetrization and Schwarz spherical symmetrization.
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[5]
The Lp Minkowski problem for the electrostatic P-capacity for P>n
Xinbao Lu
Tongji University
Xiong Ge
Tongji University
Convex and Discrete Geometry
mathscidoc:2112.40001
Indiana University Mathematics Journal, 70, (5), 1869-1901, 2021.11
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[6]
A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities
Hu Jiaqi
Fudan University
Xiong Ge
Tongji University
Convex and Discrete Geometry
mathscidoc:2108.40004
International Mathematics Research Notices, 2021, No. 12, pp. 8977–8995, 2021.5
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