Results 101 to 110 of about 520,398 (211)
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 +3 more
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A strong form of the quantitative isoperimetric inequality
, 2014 . We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the ...
Nicola Fusco +3 more
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An isoperimetric inequality [PDF]
Proceedings of the American Mathematical Society, 1964 openaire +2 more sources
Relative Isoperimetric Inequality for Domains Outside a Convex Set
Given a convex set C R and a set D R C, the inequality is called the relative isoperimetric inequality. We prove this inequality in three cases: i) when C and D are symmetric about n 1 mutually orthogonal vertical hyperplanes and @D ...
The Inequality +2 more
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The quantitative isoperimetric inequality on the sphere
, 2014 We present a quantitative version of the isoperimetric inequality on the sphere with a constant independent of the volume of the set ...
FUSCO, NICOLA
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A sharp quantitative isoperimetric inequality in higher codimension
, 2015 We establish the validity of a quantitative isoperimetric inequality in higher codimension. To be precise we show for any closed (n-1)-dimensional manifold Γ in R^{n+k} that the quantitative isoperimetric inequality
FUSCO, NICOLA, F. Duzaar, V. Bögelein
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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
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Isoperimetric Inequalities and Applications
, 2020 This paper presents in the beginning the existence of the optimal form for the isoperimetric inequality. Based on the existence of the optimal form, two simple, elementary proofs are given.
Bogoşel Beniamin +1 more
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Discrete isoperimetric inequalities [PDF]
Surveys in Differential Geometry, 2004 openaire +2 more sources