Titlebook: Sobolev Maps to the Circle; From the Perspective Haim Brezis,Petru Mironescu Book 2021 Springer Science+Business Media, LLC, part of Spring

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Airtight

Sobolev Maps to the Circle978-1-0716-1512-6Series ISSN 1421-1750 Series E-ISSN 2374-0280

BATE

The geometry of , and , in 3D (and higher); line singularities and minimal surfaces,es, connections are replaced by surfaces with prescribed boundaries or more general geometric objects (such as 2-rectifiable currents), minimal connections are replaced by area-minimizing surfaces spanned by curves (as in the classical Plateau problem).

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Degree,w many times . covers ., taking into account algebraic multiplicity.” One can still give a robust definition for . when . belongs merely to ., and thus, by the Sobolev embeddings, for maps in the critical spaces ., with .. We establish some basic properties of this degree.

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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/s/image/869245.jpg

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Nachhaltigkeit und Ausblick,Die Agilit?t einer Organisation ist nicht dauerhaft wie eine einmal festgeschriebene Struktur und muss immer weiter entwickelt und gesichert werden, indem z.?B. neue Mitarbeiter passend eingearbeitet werden.