Singularity analysis of a \(p\)-Ginzburg-Landau type minimizer

DOI10.1016/J.BULSCI.2008.02.004zbMath1190.35023OpenAlexW2026668291MaRDI QIDQ846349

Yutian Lei

Publication date: 9 February 2010

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.02.004

zbMATH Keywords

Ginzburg-Landau type functional\(p\)-harmonic mapPohozaev's identityregularized minimizer

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Singular perturbations in context of PDEs (35B25) Degenerate elliptic equations (35J70) Ginzburg-Landau equations (35Q56)

Related Items (5)

Singularity analysis of Ginzburg-Landau energy related to \(p\)-wave superconductivity ⋮ Unnamed Item ⋮ Global analysis of a \(p\)-Ginzburg-Landau energy with radial structure ⋮ Limiting behavior of minimizers ofp(x)-Ginzburg-Landau type ⋮ ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL

Cites Work

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• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Degenerate elliptic systems and applications to Ginzburg-Landau type equations. I
• Asymptotic behavior for minimizers of a Ginzburg-Landau-type functional in higher dimensions associated with \(n\)-harmonic maps
• \(W^{1,p}\) convergence of Ginzburg--Landau type minimizers
• LIMITS OF SOLUTIONS TO THE GENERALIZED GINZBURG-LANDAU FUNCTIONAL
• Ginzburg-Landau vortices
• Static theory for planar ferromagnets and antiferromagnets

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