BooksStandalone TitlesCollected Volumepp. 89–109

Planar loops with prescribed curvature via Hardy’s inequality

  • Gabriele Cora

    Université Libre de Bruxelles, Brussels, Belgium
    ORCID

  • Roberta Musina

    Università di Udine, Italy
    ORCID
Planar loops with prescribed curvature via Hardy’s inequality cover
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Abstract

We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational; it relies on a Hardy-type inequality and on its associated functional space.