Geometry of log-concave functions: the $$L_p$$ Asplund sum and the $$L_{p}$$ Minkowski problem-Reference-Cited by-同舟云学术

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Geometry of log-concave functions: the $$L_p$$ Asplund sum and the $$L_{p}$$ Minkowski problem

Published:2022-02-03 Issue:2 Volume:61 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Fang Niufa,Xing Sudan,Ye Deping

Funder

national natural science foundation of china

canadian network for research and innovation in machining technology, natural sciences and engineering research council of canada

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00526-021-02155-7.pdf

Reference70 articles.

1. Alonso-Gutiérrez, D.: A reverse Rogers-Shephard inequality for log-concave functions. J. Geom. Anal. 29, 299–315 (2019)

2. Alonso-Gutiérrez, D., Artstein-Avidan, S., Merino, B.G., Jiménez, C.H., Villa, R.: Rogers-Shephard and local Loomis-Whitney type inequalities. Math. Ann. 374, 1719–1771 (2019)

3. Alonso-Gutiérrez, D., Bernués, J., Merino, B.G.: An extension of Berwald’s inequality and its relation to Zhang’s inequality. J. Math. Anal. Appl. 486, 123875 (2020)

4. Alonso-Gutiérrez, D., Bernués, J., Merino, B.G.: Zhang’s inequality for log-concave functions. In: Klartag, B., Milman, E. (eds.) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol. 2256, pp. 29–48. Springer, Cham (2020)

5. Alonso-Gutiérrez, D., Merino, B.G., Jiménez, C.H., Villa, R.: Rogers-Shephard inequality for log-concave functions. J. Funct. Anal. 271, 3269–3299 (2016)

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1. The Discrete $$L_p$$ Minkowski Problem for Log-Concave Functions in $${\mathbb {R}}$$;The Journal of Geometric Analysis;2024-07-10

2. On the framework of L summations for functions;Journal of Functional Analysis;2023-12

3. A priori bounds and existence of smooth solutions to a $ L_p $ Aleksandrov problem for Codazzi tensor with log-convex measure;Electronic Research Archive;2023

4. A priori bounds and existence of smooth solutions to Minkowski problems for log-concave measures in warped product space forms;AIMS Mathematics;2023

5. A priori bounds, existence, and uniqueness of smooth solutions to an anisotropic L _p Minkowski problem for log-concave measure;Advanced Nonlinear Studies;2023-01-01

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