Revista Matemática Iberoamericana


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Published online first: 2019-10-14
DOI: 10.4171/rmi/1128

A weak comparison principle in tubular neighbourhoods of embedded manifolds

Francesco Polizzi[1], Pietro Sabatino[2] and Berardino Sciunzi[3]

(1) Università della Calabria, Arcavacata di Rende, Italy
(2) Università di Roma Tor Vergata, Italy
(3) Università della Calabria, Arcavacata di Rende, Italy

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.

Keywords: Quasilinear elliptic equations, comparison principle, tubular neighbourhood

Polizzi Francesco, Sabatino Pietro, Sciunzi Berardino: A weak comparison principle in tubular neighbourhoods of embedded manifolds. Rev. Mat. Iberoam. Electronically published on October 14, 2019. doi: 10.4171/rmi/1128 (to appear in print)