Results 101 to 110 of about 469,360 (206)
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
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An isoperimetric inequality [PDF]
Proceedings of the American Mathematical Society, 1964 openaire +2 more sources
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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The Sharp Quantitative Isoperimetric Inequality
, 2006 A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by ...
Pratelli, Aldo +2 more
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The isoperimetric inequality and Q-curvature
Advances in Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the stability of Almgren's isoperimetric inequality
, 2013 We establish a quantitative isoperimetric inequality in higher codimension. In particular, we prove that for any closed (n-1)-dimensional manifold \Gamma in \R^{n+k} the following inequality $$D(\Gamma)\ge C d^2(\Gamma)$$ holds true.
FUSCO, NICOLA
core
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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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 +3 more
europepmc +1 more source
A note on the Serrin problem in the plane
Le Matematiche, 2008 We investigate the stability of the radial symmetry for the overdetermined Serrin problem in a planar convex set. More precisely, we prove that, whenever we properly perturb both the boundary conditions and the data, then a convex solution is “close” to ...
Barbara Brandolini +3 more
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