Results 81 to 90 of about 1,372 (214)

On the structure of subsets of the discrete cube with small edge boundary

Discrete Analysis, 2018
On the structure of subsets of the discrete cube with small edge boundary, Discrete Analysis 2018:9, 29 pp. An isoperimetric inequality is a statement that tells us how small the boundary of a set can be given the size of the set, for suitable notions ...
David Ellis, Nathan Keller, Noam Lifshitz   +2 more
doaj   +1 more source

Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals

Journal of Inequalities and Applications, 2019
Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
doaj   +1 more source

Some weighted isoperimetric inequalities in quantitative form

, 2022
In this paper we study two different weighted isoperimetric inequalities. In the first part of the paper we prove a sharp stability result for the isoperimetric inequality with a log-convex weight. In the second part we analize the behavior of a negative
La Manna, Domenico Angelo, Fusco, Nicola
core  

Fat equator effect and minimality in immersions and submersions of the sphere

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley   +1 more source

Convex dynamics in Hele-Shaw cells

International Journal of Mathematics and Mathematical Sciences, 2002
We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under consideration.
Dmitri Prokhorov, Alexander Vasil'ev
doaj   +1 more source

Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley   +1 more source

Equivalence of Some Affine Isoperimetric Inequalities

Journal of Inequalities and Applications, 2009
We establish the equivalence of some affine isoperimetric inequalities which include the -Petty projection inequality, the -Busemann-Petty centroid inequality, the "dual" -Petty projection inequality, and the "dual" -Busemann-Petty inequality.
Yu Wuyang
doaj  

Isoperimetric inequalities for capacities in the plane

, 1992
Andrievskii V, Hansen W, Nadirashvili N. Isoperimetric inequalities for capacities in the plane. Mathematische Annalen.
Nadirashvili, N., Hansen, Wolfhard, Andrievskii, V.   +2 more
core   +1 more source

Decorated phases in triblock copolymers: Zeroth‐ and first‐order analysis

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study a two‐dimensional inhibitory ternary system characterized by a free energy functional that combines an interface short‐range interaction energy promoting microdomain growth with a Coulomb‐type long‐range interaction energy that prevents microdomains from unlimited spreading.
Stanley Alama, Lia Bronsard, Xinyang Lu, Chong Wang   +3 more
wiley   +1 more source

Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes

Journal of Function Spaces, 2018
Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
doaj   +1 more source