Differential and Integral Equations

Minimization problems and corresponding renormalized energies

Cătălin Lefter and Vicenţiu Rădulescu

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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

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

First available in Project Euclid: 6 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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