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Abstract Given N 2, we completely classify solutions to the anisotropic N-Liouville equation align* +. Here ₍^H is the so-called Finsler N-Laplacian induced by a positively homogeneous function H. As a consequence in the planar case N=2, we give an affirmative answer to a conjecture made in 53.
Ciraolo et al. (Mon,) studied this question.