Results 101 to 110 of about 363,583 (199)

Higher-order Lp isoperimetric and Sobolev inequalities

open access: yes
Schneider introduced an inter-dimensional difference body operator on convex bodies, and proved an associated inequality. In the prequel to this work, we showed that this concept can be extended to a rich class of operators from convex geometry and ...
Langharst, Dylan   +4 more
core   +1 more source

Inequalities for eigenvalue functionals

open access: yesJournal of Inequalities and Applications, 1999
We give sharp estimates for some eigenvalue functionals, and we indicate the optimal solutions.
Karaa Samir
doaj  

Isoperimetric inequalities for capacities in the plane

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

Isoperimetric Functions of Finitely Generated Nilpotent Groups

open access: yes, 1998
We show that the isoperimetric function of a finitely generated nilpotent group of class c is bounded above by a polynomial of degree ...
Isoperimetric Functions   +1 more
core  

An isoperimetric inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
openaire   +2 more sources

Isoperimetric problems and lower bounds on curvature

open access: yesAnalysis and Geometry in Metric Spaces
This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July ...
Antonelli Gioacchino
doaj   +1 more source

On the isoperimetric Riemannian Penrose inequality

open access: yesCommunications on Pure and Applied Mathematics
AbstractWe prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the mass being a well‐defined geometric invariant.
Benatti, Luca   +2 more
openaire   +3 more sources

The isoperimetric inequality and Q-curvature

open access: yesAdvances in Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Weighted isoperimetric inequalities in warped product manifolds

open access: yes, 2023
We prove some sharp isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We also relate them to inequalities involving the higher order mean-curvature integrals.
Kwok Kun Kwong (20262474)
core  

Discrete isoperimetric and Poincare-type inequalities

open access: yes, 1999
Bobkov SG, Götze F. Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS. 1999;114(2):245-277.We study some discrete isoperimetric and Poincare-type inequalities for product probability measures mu(n) on the ...
Bobkov, SG, Götze, Friedrich
core   +1 more source

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