A weak comparison principle in tubular neighbourhoods of embedded manifolds
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2018
- DOI:
- arXiv:
- arXiv:1804.11305
- Bibcode:
- 2018arXiv180411305P
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- 35B06;
- 35B51;
- 58J99
- E-Print:
- 18 pages, 1 figure. Final version, to appear in Revista Matem\'atica Iberoamericana. Version 2: minor corrections