A weak comparison principle in tubular neighbourhoods of embedded manifolds

• Francesco Polizzi ^[1] ; Pietro Sabatino ^[2] ; Berardino Sciunzi ^[1]
  1. [1] University of Calabria

     University of Calabria

     Cosenza, Italia

     
  2. [2] Università di Roma Tor Vergata
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 2, 2020, págs. 319-340
• Idioma: inglés
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• Resumen

  • We study weak solutions to degenerate quasilinear elliptic equations, involving first order terms, in unbounded tubular domains. In particular we show that, under suitable hypotheses, the weak comparison principle holds if the domain is narrow enough.