Asymptotic behavior of the regularized minimizer of an energy functional in higher dimensions

DOI10.1016/J.JMAA.2007.01.006zbMath1215.49004OpenAlexW2095115172MaRDI QIDQ996916

Yutian Lei

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.006

zbMATH Keywords

asymptotic behaviorGinzburg-Landau functional\(n\)-harmonic map\(W^{1,n}\) convergence

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Harmonic maps, etc. (58E20) Statistical mechanics of magnetic materials (82D40) Maxwell equations (35Q61)

Cites Work

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• Harmonic maps with defects
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• Mappings minimizing theLp norm of the gradient
• Semitopological solitons in planar ferromagnets
• Vortex dynamics in two-dimensional antiferromagnets
• Compactness properties of weakly p-harmonic maps into homogeneous spaces
• A Sharp Nonlinear Gagliardo–Nirenberg-Type Estimate and Applications to the Regularity of Elliptic Systems
• Ginzburg-Landau vortices
• Static theory for planar ferromagnets and antiferromagnets

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