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Fenomeni di concentrazione per energie di tipo Ginzburg-Landau

Ilaria Fragalà (2005)

Bollettino dell'Unione Matematica Italiana

Si discute il comportamento asintotico di energie di tipo Ginzburg-Landau, per funzioni da R n + k in R k , e sotto l'ipotesi che l'esponente di crescita p sia strettamente maggiore di k . In particolare, si illustra un risultato di compattezza e di Γ -convergenza, rispetto a una opportuna topologia sui Jacobiani, visti come correnti n -dimensionali. L'energia limite è definita sulla classe degli n -bordi interi M , e la sua densità dipende localmente dalla molteplicità di M tramite una famiglia di costanti di...

Finding linking sets.

Schechter, Martin, Tintarev, Kyril (2006)

International Journal of Mathematics and Mathematical Sciences

Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents

Anton Zorich (1996)

Annales de l'institut Fourier

We construct a map on the space of interval exchange transformations, which generalizes the classical map on the interval, related to continued fraction expansion. This map is based on Rauzy induction, but unlike its relative kown up to now, the map is ergodic with respect to some finite absolutely continuous measure on the space of interval exchange transformations. We present the prescription for calculation of this measure based on technique developed by W. Veech for Rauzy induction.We study...

Free vibrations for the equation of a rectangular thin plate

Eduard Feireisl (1988)

Aplikace matematiky

In the paper, we deal with the equation of a rectangular thin plate with a simply supported boundary. The restoring force being an odd superlinear function of the vertical displacement, the existence of infinitely many nonzero time-periodic solutions is proved.

Fueter regular mappings and harmonicity

Wiesław Królikowski (1996)

Annales Polonici Mathematici

It is shown that Fueter regular functions appear in connection with the Eells condition for harmonicity. New conditions for mappings from 4-dimensional conformally flat manifolds to be harmonic are obtained.

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