The Monotonicity of the Principal Frequency of the Anisotropic $p$-Laplacian

Let $D>1$ be a fixed integer. Given a smooth bounded, convex domain $\Omega \subset \mathbb{R}^D$ and $H:\mathbb{R}^D\rightarrow [0,\infty )$ a convex, even, and $1$-homogeneous function of class $C^{3,\alpha }(\mathbb{R}^D\setminus \lbrace 0\rbrace )$ for which the Hessian matrix $D^2(H^p)$ is p...

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Bibliographic Details

Published in:	Comptes Rendus. Mathématique
Main Authors:	Bocea, Marian, Mihăilescu, Mihai, Stancu-Dumitru, Denisa
Format:	Article
Language:	English
Published:	Académie des sciences 2022-09-01
Online Access:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.348/