We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.
Mosconi, S., Riey, G., Squassina, M., CONCAVE SOLUTIONS TO FINSLER p-LAPLACE TYPE EQUATIONS, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2024; 44 (12): 3669-3697. [doi:10.3934/dcds.2024073] [https://hdl.handle.net/10807/311882]
CONCAVE SOLUTIONS TO FINSLER p-LAPLACE TYPE EQUATIONS
Squassina, Marco
2024
Abstract
We prove concavity properties for solutions to anisotropic quasilinear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth anisotropies and in particular we also allow the functions describing the anisotropies to be not even.
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