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Minimization problems and corresponding renormalized energies

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Publication:1916331
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zbMath0855.35040MaRDI QIDQ1916331

Vicenţiu D. Rădulescu, Cătălin-George Lefter

Publication date: 3 February 1997

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Ginzburg-Landau functionalDirichlet integral


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Asymptotic expansions of solutions to PDEs (35C20) Existence theories for problems in abstract spaces (49J27)


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Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains ⋮ Renormalized energies for unit-valued harmonic maps in multiply connected domains ⋮ Existence of critical points with semi-stiff boundary conditions for singular perturbation problems in simply connected planar domains ⋮ Explicit expression of the microscopic renormalized energy for a pinned Ginzburg-Landau functional ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals ⋮ Magnetic Ginzburg-Landau energy with a periodic rapidly oscillating and diluted pinning term ⋮ 2D Coulomb gases and the renormalized energy



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