Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators

DOI10.1016/j.jde.2023.12.039arXiv2204.01814MaRDI QIDQ6189362

Francesco Della Pietra, Gianpaolo Piscitelli

Publication date: 8 February 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01814

zbMATH Keywords

Robin boundary conditionsnonlinear eigenvalue problemsoptimal estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

• Unnamed Item
• Unnamed Item
• Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
• A geometric characterization of a sharp Hardy inequality
• Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
• On the lowest eigenvalue of Laplace operators with mixed boundary conditions
• On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems
• Eigenvalues, embeddings and generalised trigonometric functions
• A characterization of the Wulff shape by an overdetermined anisotropic PDE
• Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
• Maximum principles and their applications
• Regularity for a more general class of quasilinear equations
• Some remarkable sine and cosine functions
• On functionals involving the torsional rigidity related to some classes of nonlinear operators
• A direct uniqueness proof for equations involving the \(p\)-Laplace operator
• A sharp weighted anisotropic Poincaré inequality for convex domains
• An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
• First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds
• Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds
• Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
• The first Robin eigenvalue with negative boundary parameter
• On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
• Eigenvalue estimates and critical temperature in zero fields for enhanced surface super\-conductivity
• Sharp estimates for the anisotropic torsional rigidity and the principal frequency
• Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter
• Eigenvalue problems for the \(p\)-Laplacian
• The best constant in some inequalities involving L\(_q\) norms of derivatives
• The distance function from the boundary in a Minkowski space
• A Lower Bound for the Fundamental Frequency of a Convex Region
• On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
• A First Course in Sobolev Spaces
• Inequalities for eigenfunctions of the $p$-Laplacian
• Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes

This page was built for publication: Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators