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Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory

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Publication:5955674
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DOI10.4171/IFB/17zbMath0989.35146OpenAlexW2008075481MaRDI QIDQ5955674

Régis Monneau, Alexis Bonnet

Publication date: 28 July 2002

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/17

zbMATH Keywords

existencesuperconductoranalytic boundarydistribution of vorticesNash-Moser inverse function theorem


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) Free boundary problems for PDEs (35R35)


Related Items

On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling, Limiting vorticities for the Ginzburg-Landau equations., On a model of rotating superfluids, A rigorous derivation of a free-boundary problem arising in superconductivity, Stability in the obstacle problem for a shallow shell, Convexity estimates for nonlinear elliptic equations and application to free boundary problems



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