Results 121 to 130 of about 520,398 (211)

On the stability of Almgren's isoperimetric inequality

, 2013
We establish a quantitative isoperimetric inequality in higher codimension. In particular, we prove that for any closed (n-1)-dimensional manifold \Gamma in \R^{n+k} the following inequality $$D(\Gamma)\ge C d^2(\Gamma)$$ holds true.
FUSCO, NICOLA
core  

A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D. [PDF]

Ann Univ Ferrara Sez 7 Sci Mat
Bellettini G, Kholmatov SY.
europepmc   +1 more source

From Rényi Entropy Power to Information Scan of Quantum States. [PDF]

Entropy (Basel), 2021
Jizba P, Dunningham J, Prokš M.
europepmc   +1 more source

Complete characterization of anisotropic geodesics in the Euclidean space. [PDF]

Geom Dedic
Aldrigo P.
europepmc   +1 more source

Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. [PDF]

Calc Var Partial Differ Equ, 2022
Del Nin G, Petrache M.
europepmc   +1 more source

Stability of the isoperimetric inequality on the sphere

, 2013
We present a quantitative version of the isoperimetric inequality on the sphere with a constant independent of the volume of the set
FUSCO, NICOLA
core  

Gradient Flow Dynamics for Cell Membranes in the Canham-Helfrich Model. [PDF]

Arch Ration Mech Anal
Rupp F, Scharrer C, Schlierf M.
europepmc   +1 more source

Dirac operator spectrum in tubes and layers with a zigzag-type boundary. [PDF]

Lett Math Phys, 2022
Exner P, Holzmann M.
europepmc   +1 more source

AN APPROXIMATE ISOPERIMETRIC INEQUALITY FOR r-SETS

, 2014
. We prove a vertex-isoperimetric inequality for [n] (r) , the set of all r-element subsets of {1, 2,..., n}, where x, y ∈ [n] (r) are adjacent if |x∆y | = 2. Namely, if A ⊂ [n] (r) with |A | = α (
David Ellis, Peter Keevash, Demetres Christofides   +2 more
core  

Free boundary minimal Möbius bands in toroids. [PDF]

Calc Var Partial Differ Equ
Schulz MB.
europepmc   +1 more source