paper

A weak comparison principle in tubular neighbourhoods of embedded manifolds

arXiv:1804.11305 · doi:10.4171/RMI/1128

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.

18 pages, 1 figure. Final version, to appear in Revista Matemática Iberoamericana. Version 2: minor corrections