Differential and Integral Equations

Minimization problems and corresponding renormalized energies

Cătălin Lefter and Vicenţiu Rădulescu

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Abstract

We take into consideration several minimization problems and we study the asymptotic behavior of minimizers. We introduce corresponding notions of renormalized energies and we give explicit formulas in the case of a ball. We study the Ginzburg-Landau energy in an appropriate class of functions and we find the link with the renormalized energies already introduced.

Article information

Source
Differential Integral Equations, Volume 9, Number 5 (1996), 903-917.

Dates
First available in Project Euclid: 6 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367871523

Mathematical Reviews number (MathSciNet)
MR1392087

Zentralblatt MATH identifier
0855.35040

Subjects
Primary: 58E20: Harmonic maps [See also 53C43], etc.
Secondary: 35J60: Nonlinear elliptic equations 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

Citation

Lefter, Cătălin; Rădulescu, Vicenţiu. Minimization problems and corresponding renormalized energies. Differential Integral Equations 9 (1996), no. 5, 903--917. https://projecteuclid.org/euclid.die/1367871523


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