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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.
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Francesco Polizzi, Pietro Sabatino, Berardino Sciunzi, A weak comparison principle in tubular neighbourhoods of embedded manifolds. Rev. Mat. Iberoam. 36 (2020), no. 2, pp. 319–340DOI 10.4171/RMI/1128