Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition

DOI10.1007/s005260050106zbMath0910.49001OpenAlexW1997741336MaRDI QIDQ1271825

Nelly André, Itai Shafrir

Publication date: 12 April 1999

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050106

zbMATH Keywords

minimization problemwinding numberGinzburg-Landau functionalnon-vanishing Dirichlet boundary condition

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Existence of solutions for minimax problems (49J35) Existence theories for free problems in two or more independent variables (49J10) Harmonic maps, etc. (58E20)

Related Items (12)

ON NEMATICS STABILIZED BY A LARGE EXTERNAL FIELD ⋮ On a singular perturbation problem involving a “circular-well” potential ⋮ Local minimizers of the Ginzburg-Landau functional with prescribed degrees ⋮ Dimension Reduction for the Landau--de Gennes Model: The Vanishing Nematic Correlation Length Limit ⋮ Vortices in rotating Bose-Einstein condensates confined in homogeneous traps ⋮ Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy ⋮ On a model of rotating superfluids ⋮ Radial minimizers of \(p\)-Ginzburg-Landau type with \(p\in (n - 1,n)\) ⋮ Limiting properties of the second order Ginzburg-Landau minimizers ⋮ Radial minimizer of \(p\)-Ginzburg-Landau functional with nonvanishing Dirichlet boundary condi\-tion ⋮ Vortex patterns and sheets in segregated two component Bose-Einstein condensates ⋮ On a singular perturbation problem involving the distance to a curve

This page was built for publication: Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition