Results 91 to 100 of about 13,857 (195)

Relative isoperimetric inequality in the plane: the anisotropic case

, 2012
We prove a relative isoperimetric inequality in the plane, when the perimeter is defined with respect to a convex, positively homogeneous function of degree one, and characterize the ...
Della Pietra, Francesco, Gavitone, Nunzia   +1 more
core  

Weighted quantitative isoperimetric inequalities in the Grushin space R h + 1 ${R}^{h+1}$ with density | x | p $|x|^{p}$

Journal of Inequalities and Applications, 2017
In this paper, we prove weighted quantitative isoperimetric inequalities for the set E α = { ( x , y ) ∈ R h + 1 : | y | < ∫ arcsin | x | π 2 sin α + 1 ( t ) d t , | x | < 1 } $E_{\alpha}= \{(x,y)\in {R}^{h+1}: \vert y \vert
Guoqing He, Peibiao Zhao
doaj   +1 more source

Two bounds on the noncommuting graph

Open Mathematics, 2015
Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
doaj   +1 more source

Isoperimetric inequality fortorsional rigidity in the complex plane

Journal of Inequalities and Applications, 2001
Suppose SZ is a simply connected domain in the complex plane. In (F.G. Avhadiev, Matem. Sborn., 189(12) (1998), 3–12 (Russian)), Avhadiev introduced new geometrical functionals, which give two-sided estimates for the torsional rigidity of .
Salahudinov RG
doaj  

A weighted isoperimetric inequality and applications to symmetrization

Journal of Inequalities and Applications, 1999
We prove an inequality of the form , where is a bounded domain in with smooth boundary, is a ball centered in the origin having the same measure as . From this we derive inequalities comparing a weighted Sobolev norm of a given function with the norm
Brock F, Mercaldo A, Posteraro MR, Betta MF   +3 more
doaj  

Space-time integral currents of bounded variation. [PDF]

Calc Var Partial Differ Equ, 2023
Rindler F.
europepmc   +1 more source

On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. [PDF]

Calc Var Partial Differ Equ, 2022
Antonelli G, Bruè E, Fogagnolo M, Pozzetta M.   +3 more
europepmc   +1 more source

A note on the Faber-Krahn inequality

Le Matematiche, 1998
In this work we study the well known Faber-Krahn  inequality for planar domains. Let u>0 be the first eigenfunction of the Laplacian on a bounded domain and λ_1 be the first eigenvalue. Let λ^∗_1  be the first eigenvalue for the symmetrized domain.
Tilak Bhattacharya
doaj  

Isoperimetric inequality for disconnected regions

Geometriae Dedicata
The discrete isoperimetric inequality in Euclidean geometry states that among all $n$-gons having a fixed perimeter $p$, the one with the largest area is the regular $n$-gon. The statement is true in spherical geometry and hyperbolic geometry as well. In this paper, we generalize the discrete isoperimetric inequality to disconnected regions, i.e.
Sanki, Bidyut, Vadnere, Arya
openaire   +2 more sources

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

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