JournalsrmiVol. 36, No. 2pp. 319–340

A weak comparison principle in tubular neighbourhoods of embedded manifolds

  • Francesco Polizzi

    Università della Calabria, Arcavacata di Rende, Italy
  • Pietro Sabatino

    Università di Roma Tor Vergata, Italy
  • Berardino Sciunzi

    Università della Calabria, Arcavacata di Rende, Italy
A weak comparison principle in tubular neighbourhoods of embedded manifolds cover

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Abstract

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.

Cite this article

Francesco Polizzi, Pietro Sabatino, Berardino Sciunzi, A weak comparison principle in tubular neighbourhoods of embedded manifolds. Rev. Mat. Iberoam. 36 (2019), no. 2, pp. 319–340

DOI 10.4171/RMI/1128