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One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane. (English) Zbl 1266.35088

Summary: We prove one-dimensional symmetry of monotone solutions for some anisotropic quasilinear elliptic equations in the plane.

MSC:

35J62 Quasilinear elliptic equations
35J70 Degenerate elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B09 Positive solutions to PDEs
35B50 Maximum principles in context of PDEs
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