Approximations with vorticity bounds for the Ginzburg-Landau functional

Bethuel, F.; Orlandi, Giandomenico; Smets, D.

doi:http://dx.doi.org/10.1142/S0219199704001537

We propose an approximation scheme for complex-valued functions defined on a smooth domain Ω: the approximating functions have a Ginzburg–Landau energy of the same magnitude as the initial function, but they possess moreover improved bounds on vorticity. As an application, we obtain a variant of a Jacobian estimate first established by Jerrard and Soner. This variant was conjectured by Bourgain, Brezis and Mironescu.

Titolo:	Approximations with vorticity bounds for the Ginzburg-Landau functional
Autori:	F. Bethuel ORLANDI, Giandomenico D. Smets mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2004
Rivista:	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Abstract:	We propose an approximation scheme for complex-valued functions defined on a smooth domain Ω: the approximating functions have a Ginzburg–Landau energy of the same magnitude as the initial function, but they possess moreover improved bounds on vorticity. As an application, we obtain a variant of a Jacobian estimate first established by Jerrard and Soner. This variant was conjectured by Bourgain, Brezis and Mironescu.
Handle:	http://hdl.handle.net/11562/18371
Appare nelle tipologie:	01.01 Articolo in Rivista

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