Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators

Fuente: arXiv
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Hauptverfasser: Barbato, Rosa, Della Pietra, Francesco
Format: Preprint
Veröffentlicht: 2024
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author Barbato, Rosa
Della Pietra, Francesco
author_facet Barbato, Rosa
Della Pietra, Francesco
contents Let $Ω$ be a bounded, smooth domain of $\mathbb R^N$, $N\ge 2$. In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$-laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue.
format Preprint
id arxiv_https___arxiv_org_abs_2410_12565
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators
Barbato, Rosa
Della Pietra, Francesco
Analysis of PDEs
Let $Ω$ be a bounded, smooth domain of $\mathbb R^N$, $N\ge 2$. In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$-laplacian operator. In particular, we prove an upper bound for the first Robin eigenvalue of nonlinear elliptic operators in terms of the first Dirichlet eigenvalue.
title Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators
topic Analysis of PDEs
url https://arxiv.org/abs/2410.12565