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Topological sectors for Ginzburg-Landau energies

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Publication:1970373
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DOI10.4171/RMI/264zbMath0952.35049OpenAlexW1994692436MaRDI QIDQ1970373

Yanyan Li

Publication date: 4 January 2001

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39577

zbMATH Keywords

energy functionaltopological degreemountain-pass solutioncritical point of functional


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Parametrices in context of PDEs (35A17)


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Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg-Landau equation, Size of planar domains and existence of minimizers of the Ginzburg-Landau energy with semistiff boundary conditions, Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions, Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds, Travelling waves for the Gross-Pitaevskii equation. II



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