Results 51 to 60 of about 1,599 (218)
Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley +1 more source
A quantitative version of the isoperimetric inequality : the anisotropic case [PDF]
, 2005 We State and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if E is a set with small anisotropic isoperimetric deficit, then E is "close" to the Wulff shape ...
Esposito, Luca +3 more
core +2 more sources
An optimal relative isoperimetric inequality in concave cylindrical domains in
Journal of Inequalities and Applications, 2000 We prove an optimal relative isoperimetric inequality in concave cylindrical domains in , which generalizes the well-known two-dimensional relative isoperimetric inequality in a planar sector with angle greater than or equal to .
Kim Inho
doaj
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
doaj +1 more source
Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley +1 more source
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 +2 more
doaj +1 more source
Isoperimetric Inequalities for Convex Cones [PDF]
Proceedings of the American Mathematical Society, 1990 We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
openaire +3 more sources
Pólya's conjecture for Dirichlet eigenvalues of annuli
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov +3 more
wiley +1 more source
Isoperimetric inequality in the Grushin plane [PDF]
, 2018 We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Morbidelli, Daniele, Monti, Roberto
core
An affine isoperimetric inequality for log-concave functions
, 2023 The authors gave an affine isoperimetric inequality \cite{LYZ2010} that gives a lower bound for the volume of a polar body and the equality holds if and only if the body is a simplex.
Zhang, Zengle, Zhou, Jiazu
core