The existence of Ginzburg-Landau solutions on the plane by a direct variational method

DOI10.1016/S0294-1449(16)30176-7zbMath0836.35137OpenAlexW1651010308MaRDI QIDQ1904219

Yisong Yang

Publication date: 18 December 1995

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_5_517_0

zbMATH Keywords

minimizationSobolev inequalityGinzburg-Landau equationsGinzburg-Landau energymodified energy

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40)

Related Items

On the periodic behavior of solutions to a diffusion problem describing currents in a high-temperature superconductor ⋮ Cauchy problem for the Ginzburg-Landau equation for the superconductivity model ⋮ A non-existence result for the Ginzburg-Landau equations ⋮ Remarks on the existence of global minimizers for the Ginzburg-Landau energy functional

Cites Work

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• On the Abelian Higgs models with sources
• Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)
• On the equivalence of the first and second order equations for gauge theories
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
• Elliptic Partial Differential Equations of Second Order
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory