Nonlocal minimal surfaces: recent developments, applications, and future directions

• Joaquim Serra ^[1]
  1. [1] Swiss Federal Institute of Technology in Zurich

     Swiss Federal Institute of Technology in Zurich

     Zürich, Suiza

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 81, Nº. 2, 2024, págs. 165-191
• Idioma: inglés
• DOI: 10.1007/s40324-023-00345-1
• Texto completo no disponible (Saber más ...)
• Resumen

  • Recently, we have found that nonlocal minimal surfaces enjoy notably stronger regularity estimates than classical minimal surfaces. This survey paper discusses these findings and their exciting applications in phase transitions and minimal surfaces.