\(C^{1,\alpha}\) convergence of a Ginzburg-Landau type minimizer in higher dimensions

DOI10.1016/J.NA.2004.07.026zbMath1116.35320OpenAlexW2012773003MaRDI QIDQ1887998

Yutian Lei

Publication date: 22 November 2004

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.2004.07.026

zbMATH Keywords

Ginzburg-Landau type functional\(n\)-harmonic mapregularizable minimizer

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (2)

Some results on an \(n\)-Ginzburg-Landau-type minimizer ⋮ Estimates for convergence rate of an \(n\)-Ginzburg-Landau type minimizer

Cites Work

• Unnamed Item
• Everywhere-regularity for some quasilinear systems with a lack of ellipticity
• Existence and partial regularity in the calculus of variations
• 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
• Mappings minimizing theLp norm of the gradient
• Asymptotics for the minimization of a Ginzburg-Landau energy in n dimensions
• Ginzburg-Landau vortices

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