Results 111 to 120 of about 1,599 (218)

Isoperimetric inequalities

open access: yes, 2012
In the present work we study isoperimetric problem and its description by isoperimetric inequality. The legend of Dido, which inspired formulation of the isoperimetric problem, is described in the first chapter.
Bártlová, Tereza
core  

An isoperimetric inequality [PDF]

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

The generalized strong isoperimetric inequality in locally finite networks

open access: yes, 1997
A result concerning the equivalence of the strong isoperimetric inequality and the Poincaré–Sobolev inequality in locally finite networks is generalized, and an alternative characterization of these properties is ...
Yamasaki, Maretsugu, Oettli, Werner
core   +1 more source

A note on the Faber-Krahn inequality

open access: yesLe 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
doaj  

A Note on the Isoperimetric Inequality

open access: yesMissouri Journal of Mathematical Sciences, 2001
Bayne, Richard E., Kwack, Myung H.
openaire   +3 more sources

A note on the Serrin problem in the plane

open access: yesLe 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
doaj  

Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

open access: yesBruno 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
doaj  

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