Uniqueness of symmetric vortex solutions in the Ginzburg-Landau model superconductivity

DOI10.1006/jfan.1999.3447zbMath0938.82062OpenAlexW2078162337WikidataQ60143348 ScholiaQ60143348MaRDI QIDQ1807749

Tiziana Giorgi, Stanley Alama, Lia Bronsard

Publication date: 19 December 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3447

zbMATH Keywords

free energy functionalMountain Pass TheoremsuperconductivityGinzbug-Landau free energynondegenerate relative minimizeruniqueness of symmetric vortex solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Exactly solvable models; Bethe ansatz (82B23)

Related Items (8)

ON THE HESSIAN OF THE ENERGY FORM IN THE GINZBURG–LANDAU MODEL OF SUPERCONDUCTIVITY ⋮ Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model ⋮ Local uniqueness of the magnetic Ginzburg-Landau equation ⋮ Radial solutions for the Ginzburg-Landau equation with applied magnetic field. ⋮ ON THE SYMMETRY AND UNIQUENESS OF SOLUTIONS OF THE GINZBURG–LANDAU EQUATIONS FOR SMALL DOMAINS ⋮ On the structure of fractional degree vortices in a spinor Ginzburg-Landau model ⋮ Fourfold symmetric solutions to the Ginzburg Landau equation for d-wave superconductors ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

Cites Work

• Existence of solitary waves in higher dimensions
• Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
• On the stability of radial solutions of the Ginzburg-Landau equation
• Symmetry of the Ginzburg-Landau minimizer in a disc
• The behavior at infinity of isotropic vortices and monopoles
• Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation
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