A Ginzburg–Landau problem with weight having minima on the boundary

DOI10.1017/S0308210500027281zbMath0921.35057OpenAlexW2156690064MaRDI QIDQ4229272

Anne Beaulieu, Rejeb Hadiji

Publication date: 29 September 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027281

zbMATH Keywords

location of the singularities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Homogenization of a Ginzburg-Landau problem in a perforated domain with mixed boundary conditions ⋮ Solutions of Ginzburg-Landau equations with weight and minimizers of the renormalized energy ⋮ Saturn ring defect around a spherical particle immersed in a nematic liquid crystal ⋮ Pinning phenomena in the Ginzburg-Landau model of superconductivity

Cites Work

• A model for superconducting thin films having variable thickness
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Lower bounds for the energy of \(S^ 1\)-valued maps in perforated domains
• The behavior of a Ginzburg-Landau minimizer near its zeroes

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