Results 171 to 180 of about 520,398 (211)

High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint. [PDF]

J Stat Phys
He Q, Jauslin I.
europepmc   +1 more source

Delaunay-Like Compact Equilibria in the Liquid Drop Model. [PDF]

Arch Ration Mech Anal
Del Pino M, Musso M, Zuniga A.
europepmc   +1 more source

Eigenvalue estimates for Fourier concentration operators on two domains. [PDF]

Arch Ration Mech Anal
Marceca F, Romero JL, Speckbacher M.
europepmc   +1 more source

Isoperimetric Inequality in the Grushin Plane [PDF]

Journal of Geometric Analysis, 2004
In this article, we prove a sharp isoperimetric inequality in the generalized Grushin plane depending on a parameter $\alpha>0$. For each $\alpha$ we compute the corresponding isoperimetric sets.
Daniele Morbidelli, Roberto Monti
exaly   +3 more sources

A Quantitative Isoperimetric Inequality on the Sphere

Advances in Calculus of Variations, 2017
In this paper we prove a quantitative version of the isoperimetric inequality on the sphere with a constant independent of the volume of the set ...
Nicola Fusco, Verena Bögelein, Frank Duzaar   +2 more
exaly   +2 more sources

The Quantitative Isoperimetric Inequality and Related Topics [PDF]

Bulletin of Mathematical Sciences, 2015
We present some recent stability results concerning the isoperimetric inequality and other related geometric and functional inequalities.
Nicola Fusco
exaly   +2 more sources

A Selection Principle for the Sharp Quantitative Isoperimetric Inequality [PDF]

Archive for Rational Mechanics and Analysis, 2012
We introduce a new variational method for the study of isoperimetric inequalities with quantitative terms.The method is general as it relies on a penalization technique combined with the regularity theory for quasiminimizers of the perimeter. Two notable
Gian Paolo Leonardi, Marco Cicalese
exaly   +2 more sources

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Isoperimetric Inequalities and Eigenvalues

SIAM Journal on Discrete Mathematics, 1997
An upper bound is given on the minimum distance between i subsets of same size of a regular graph in terms of the ith largest eigenvalue in absolute value. This yields a bound on the diameter in terms of the ith largest eigenvalue for any integer i. Our bounds are shown to be asymptotically tight for explicit families of graphs having an asymptotically
openaire   +3 more sources

ISOPERIMETRIC INEQUALITIES FOR MULTIVARIFOLDS

Mathematics of the USSR-Izvestiya, 1986
Developing the theory of multivarifolds the author establishes new isoperimetric inequalities. The main result can be stated as follows: ''Let W be a \((k+1)\)-dimensional compact Riemannian manifold with boundary \(\partial W\), and \(g: \partial W\to R^ n\) a fixed mapping of class \(C^ r\) (resp. a locally Lipschitz mapping).
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An Isoperimetric Inequality on the Discrete Torus

SIAM Journal on Discrete Mathematics, 1990
The discrete torus is the graph on $\mathbb{Z}_k^n = ( \mathbb{Z}/k\mathbb{Z} )^n $ in which $x = (x_i )_1^n $ is joined to $y = (y_i )_1^n $ if for some i there is $x_i = y_i \pm 1$ and $x_j = y_j $ for all $j \ne i$. For a set $A \subset \mathbb{Z}_k^n $ and a natural number t, let $A_{( t )} $ be the set of vertices of $\mathbb{Z}_k^n $ within ...
Béla Bollobás, Imre Leader
openaire   +2 more sources