Results 131 to 140 of about 654,419 (234)

Inequalities for eigenvalue functionals

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

Geometric stability via information theory

Discrete Analysis, 2016
Geometric stability via information theory, Discrete Analysis, 2016:10, 28pp. Let $A$ be a subset of $\mathbb R^3$. Then we can project $A$ onto the $xy$-plane, the $yz$-plane and the $xz$-plane. If we are given the areas of these projections, how large
David Ellis, Guy Kindler, Ehud Friedgut, Amir Yehudayoff   +3 more
doaj   +1 more source

Sharp Sobolev Inequalities via Projection Averages. [PDF]

J Geom Anal, 2021
Kniefacz P, Schuster FE.
europepmc   +1 more source

Li-Yau inequalities for the Helfrich functional and applications. [PDF]

Calc Var Partial Differ Equ, 2023
Rupp F, Scharrer C.
europepmc   +1 more source

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 Steklov to Neumann via homogenisation. [PDF]

Arch Ration Mech Anal, 2021
Girouard A, Henrot A, Lagacé J.
europepmc   +1 more source

Isoperimetric Type Inequalities and Hypersurface Flows

, 2021
Pengfei Li
semanticscholar   +1 more source

An isoperimetric inequality [PDF]

Proceedings of the American Mathematical Society, 1964
openaire   +2 more sources

Sharp Cheeger-Buser Type Inequalities in RCD ( K , ∞ ) Spaces. [PDF]

J Geom Anal, 2021
De Ponti N, Mondino A.
europepmc   +1 more source

Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

Bruno Pini Mathematical Analysis Seminar, 2010
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
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