Minimization of a quasi-linear Ginzburg-Landau type energy

DOI10.1016/j.na.2008.11.078zbMath1180.35193OpenAlexW2072414128MaRDI QIDQ1026040

Carmen Perugia, Rejeb Hadiji

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.078

zbMATH Keywords

Ginzburg-Landau equationquasi-linear problem\(S^{1}\) valued map

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20) Ginzburg-Landau equations (35Q56)

Related Items (2)

A Liouville type result and quantization effects on the system \(-\Delta u = u J'(1-|u|^2)\) for a potential convex near zero ⋮ Homogenization of a Ginzburg-Landau problem in a perforated domain with mixed boundary conditions

Cites Work

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• Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight. I
• Local minimizers for the Ginzburg-Landau energy
• On the equilibrium position of Ginzburg-Landau vortices
• The singular set of minima of integral functionals
• Ginzburg-Landau vortices

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