An existence and uniqueness result for symmetric vortices for the Ginzberg-Landau equations of superconductivity

DOI10.1006/jdeq.1998.3620zbMath0933.34017OpenAlexW2037421106MaRDI QIDQ1305489

Curtis B. Clemons

Publication date: 29 March 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3620

zbMATH Keywords

existenceuniquenesssymmetric vorticesGinzberg-Landau equation

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Statistical mechanics of magnetic materials (82D40)

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ON THE HESSIAN OF THE ENERGY FORM IN THE GINZBURG–LANDAU MODEL OF SUPERCONDUCTIVITY ⋮ Local uniqueness of the magnetic Ginzburg-Landau equation ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

Cites Work

• Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
• Spiral Waves in Reaction-Diffusion Equations
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