Concave solutions to Finsler \(p\)-Laplace type equations

Concave solutions to Finsler \(p\)-Laplace type equations

We prove concavity properties for solutions to anisotropic quasi-linear 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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Veröffentlicht in:arXiv.org 2024-04
Hauptverfasser: Mosconi, Sunra, Riey, Giuseppe, Squassina, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Concavity
Linear equations
Mathematical analysis
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Zusammenfassung:We prove concavity properties for solutions to anisotropic quasi-linear 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.
ISSN:2331-8422