The logarithmic Minkowski problem

K Böröczky, E Lutwak, D Yang, G Zhang - Journal of the American …, 2013 - ams.org
The logarithmic Minkowski problem Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 26, Number 3, July 2013, Pages 831–852 S 0894-0347(2012)00741-3 …

The even Orlicz Minkowski problem

C Haberl, E Lutwak, D Yang, G Zhang - Advances in Mathematics, 2010 - Elsevier
The even Orlicz Minkowski problem Page 1 Advances in Mathematics 224 (2010) 2485–2510
www.elsevier.com/locate/aim The even Orlicz Minkowski problem Christoph Haberl, Erwin …

[HTML][HTML] The logarithmic Minkowski problem for polytopes

G Zhu - Advances in Mathematics, 2014 - Elsevier
The logarithmic Minkowski problem asks for necessary and sufficient conditions for a finite
Borel measure on the unit sphere so that it is the cone-volume measure of a convex body …

[HTML][HTML] The Lp Minkowski problem for polytopes for 0< p< 1

G Zhu - Journal of Functional Analysis, 2015 - Elsevier
The Lp Minkowski problem for polytopes for 0<p<1 - ScienceDirect Skip to main contentSkip
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The logarithmic Minkowski problem for non-symmetric measures

S Chen, Q Li, G Zhu - Transactions of the American Mathematical Society, 2019 - ams.org
Recently, Böröczky, Lutwak, Yang, and Zhang [J. Amer. Math. Soc. 26 (2013), pp. 831–852]
established necessary and sufficient conditions for the existence of solutions to the …

The centro-affine Hadwiger theorem

C Haberl, L Parapatits - Journal of the American Mathematical Society, 2014 - ams.org
All upper semicontinuous and $\mathrm {SL}(n) $ invariant valuations on convex bodies
containing the origin in their interiors are completely classified. Each such valuation is …

On the discrete logarithmic Minkowski problem

KJ Böröczky, P Hegedűs, G Zhu - International Mathematics …, 2016 - academic.oup.com
On the Discrete Logarithmic Minkowski Problem | International Mathematics Research
Notices | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …

[HTML][HTML] On the Lp Monge–Ampère equation

S Chen, Q Li, G Zhu - Journal of Differential Equations, 2017 - Elsevier
On the Lp Monge–Ampère equation - ScienceDirect Skip to main contentSkip to article
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A flow method for the dual Orlicz–Minkowski problem

YN Liu, J Lu - Transactions of the American Mathematical Society, 2020 - ams.org
In this paper the dual Orlicz–Minkowski problem, a generalization of the $ L_p $ dual
Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support …

[HTML][HTML] The affine Sobolev–Zhang inequality on BV (Rn)

T Wang - Advances in Mathematics, 2012 - Elsevier
The affine Sobolev–Zhang inequality is extended to BV (Rn), the space of functions of
bounded variation on Rn, and the equality cases are characterized. As a consequence, the …