Results 111 to 120 of about 1,599 (218)
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]
openaire +2 more sources
The generalized strong isoperimetric inequality in locally finite networks
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
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
From Rényi Entropy Power to Information Scan of Quantum States. [PDF]
Jizba P, Dunningham J, Prokš M.
europepmc +1 more source
A Note on the Isoperimetric Inequality
Bayne, Richard E., Kwack, Myung H.
openaire +3 more sources
A note on the Serrin problem in the plane
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
Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. [PDF]
Del Nin G, Petrache M.
europepmc +1 more source
Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
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

