A weak comparison principle in tubular neighbourhoods of embedded manifolds

Francesco Polizzi; Pietro Sabatino; Berardino Sciunzi

doi:10.4171/rmi/1128

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
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Pietro Sabatino
Università di Roma Tor Vergata, Italy
- MathSciNet
- zbMATH Open
Berardino 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