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This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate  P -functions, in the sense of Payne (see the book of Sperb [ 18 ]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin–Weinberger-type symmetry result.

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations