Advances in Convex Geometry and Analysis
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".
Deadline for manuscript submissions: 30 April 2025 | Viewed by 4571
Special Issue Editors
Interests: convex geometric analysis; integral geometry; geometric inequalities
Interests: Banach space theory; convex and discrete geometry
Interests: nonlinear elliptic equation; integral inequality; extremal function; variational methods
Special Issue Information
Dear Colleagues,
Convex geometric analysis is the subject that studies geometric structures and invariants of convex sets using both geometric and analytic methods. Results from the convex geometric analysis have been applied in numerous mathematical disciplines: stochastic geometry, integral geometry, differential geometry, Minkowski and Finsler geometry, combinatorial geometry, algebraic geometry, non-linear partial differential equations, especially the Monge–Ampere equations, number theory, Banach space theory, probability and multivariate statistics.
The aim of this Special Issue is to collate original and high-quality research and review articles related to the development of and applications in convex geometry and analysis. We also hope to attract review articles which describe the current state of the art within this field.
Potential topics include, but are not limited to, the following:
- Geometric inequalities, isoperimetric inequalities;
- Minkowski type problem;
- Differential and integral equations;
- The completeness of weighted Lp spaces;
- Banach space theory;
- Differential geometry;
- Discrete geometry.
We look forward to receiving your contributions.
Prof. Dr. Baocheng Zhu
Prof. Dr. Senlin Wu
Prof. Dr. Jingbo Dou
Dr. Wenxue Xu
Guest Editors
Manuscript Submission Information
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Keywords
- Borsuk’s problem
- Hadwiger’s covering problem
- complete sets
- geometric inequality
- Brunn-Minkowski inequality
- Minkowski problem
- integral inequality
- Weighted Lp spaces
- holder’s inequality
- Fourier coefficients
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