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.
Cătălin Lefter. Vicenţiu Rădulescu. "Minimization problems and corresponding renormalized energies." Differential Integral Equations 9 (5) 903 - 917, 1996. https://doi.org/10.57262/die/1367871523