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A weak comparison principle in tubular neighbourhoods of embedded manifolds

Authors :
Polizzi, Francesco
Sabatino, Pietro
Sciunzi, Berardino
Source :
Revista Matem\'atica Iberoamericana 36, issue 2 (2020), 319-340
Publication Year :
2018

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.<br />Comment: 18 pages, 1 figure. Final version, to appear in Revista Matem\'atica Iberoamericana. Version 2: minor corrections

Details

Database :
arXiv
Journal :
Revista Matem\'atica Iberoamericana 36, issue 2 (2020), 319-340
Publication Type :
Report
Accession number :
edsarx.1804.11305
Document Type :
Working Paper
Full Text :
https://doi.org/10.4171/RMI/1128