A weak comparison principle in tubular neighbourhoods of embedded manifolds
Francesco Polizzi
Università della Calabria, Arcavacata di Rende, ItalyPietro Sabatino
Università di Roma Tor Vergata, ItalyBerardino Sciunzi
Università della Calabria, Arcavacata di Rende, Italy
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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 (2020), no. 2, pp. 319–340
DOI 10.4171/RMI/1128