We study the asymptotic behavior of energies of Ginzburg–Landau type, for maps from Rn+k into Rk, and when the growth exponent p is strictly larger than k. We prove a compactness and Γ-convergence result, with respect to a suitable topology on the Jacobians, seen as n-dimensional currents. The limit energy is defined on the class of n-integral boundaries M, and its density involves a family of optimal profile constants depending locally on the multiplicity of M.
Concentration of Ginzburg-Landau energies with supercritical growth
FRAGALÀ, ILARIA MARIA RITA
2006-01-01
Abstract
We study the asymptotic behavior of energies of Ginzburg–Landau type, for maps from Rn+k into Rk, and when the growth exponent p is strictly larger than k. We prove a compactness and Γ-convergence result, with respect to a suitable topology on the Jacobians, seen as n-dimensional currents. The limit energy is defined on the class of n-integral boundaries M, and its density involves a family of optimal profile constants depending locally on the multiplicity of M.File in questo prodotto:
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