Prohibiting isolated singularities in optimal transport

• Young-Heon Kim ^[1] ; Jun Kitagawa ^[2]
  1. [1] University of British Columbia

     University of British Columbia

     Canadá

     
  2. [2] Michigan State University

     Michigan State University

     City of East Lansing, Estados Unidos

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 16, Nº 1, 2016, págs. 277-290
• Idioma: inglés
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• Resumen

  • We give natural topological conditions on the support of the target measure under which solutions to the optimal transport problem with cost function satisfying the (weak) Ma, Trudinger, and Wang condition cannot have any interior isolated singular points.