Pinning of vortices for the Ginzburg-Landau functional with variable coefficient

DOI10.1007/S11766-997-0009-8zbMath0874.35015OpenAlexW2323253931MaRDI QIDQ1355920

Wanghui Yu, Shijin Ding, Zu Han Liu

Publication date: 28 May 1997

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-997-0009-8

zbMATH Keywords

singularitiesGinzburg-Landau functional

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Solutions of Ginzburg-Landau equations with weight and minimizers of the renormalized energy ⋮ Asymptotic behavior for minimizers of a Ginzburg-Landau-type functional in higher dimensions.

Cites Work

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• Asymptotics for the minimization of a Ginzburg-Landau functional
• A model for superconducting thin films having variable thickness
• On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
• Asymptotic behavior for minimizers of a Ginzburg-Landau-type functional in higher dimensions associated with \(n\)-harmonic maps

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