Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents

DOI10.1007/BF02103722zbMath0860.35131MaRDI QIDQ1924091

Peter Sternberg, Jacob Rubinstein

Publication date: 14 October 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

superconductorsGinzburg-Landau theoryfluxoid

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55)

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Cites Work

• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• Density of smooth functions between two manifolds in Sobolev spaces
• The approximation problem for Sobolev maps between two manifolds
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity