On the first Robin eigenvalue of a class of anisotropic operators

DOI10.1007/s00032-018-0286-0zbMath1404.35304arXiv1803.09790OpenAlexW2963133197WikidataQ129193654 ScholiaQ129193654MaRDI QIDQ1756608

Nunzia Gavitone, Leonardo Trani

Publication date: 21 December 2018

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09790

zbMATH Keywords

eigenvalue problemsnonlinear elliptic equationsRobin boundary conditionFaber-Krahn inequalityWulff shape

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60)

Related Items (7)

An estimate for the anisotropic maximum curvature in the planar case ⋮ Spectral optimization for weighted anisotropic problems with Robin conditions ⋮ Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter ⋮ On the behavior of the first eigenvalue of the \(p\)-Laplacian with Robin boundary conditions as \(p\) goes to 1 ⋮ An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes ⋮ Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes ⋮ Two inequalities for the first Robin eigenvalue of the Finsler Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
• Faber-Krahn inequality for Robin problems involving \(p\)-Laplacian
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Monotonicity results for the principal eigenvalue of the generalized Robin problem
• An alternative approach to the Faber-Krahn inequality for Robin problems
• Regularity for a more general class of quasilinear equations
• Convex symmetrization and applications
• Domain perturbation for elliptic equations subject to Robin boundary conditions
• Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
• On functionals involving the torsional rigidity related to some classes of nonlinear operators
• Note on a nonlinear eigenvalue problem
• A note on positive eigenfunctions and hidden convexity
• A sharp weighted anisotropic Poincaré inequality for convex domains
• Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
• An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities
• A Faber-Krahn inequality for Robin problems in any space dimension
• Linear and quasilinear elliptic equations
• A note on a paper of Sperb
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Anisotropic Cheeger Sets and Applications
• A uniqueness proof for the Wulff Theorem
• Elliptic Partial Differential Equations of Second Order
• Optimizing the first eigenvalue of some quasilinear operators with respect to boundary conditions
• ON THE ISOPERIMETRIC PROBLEM FOR THE LAPLACIAN WITH ROBIN AND WENTZELL BOUNDARY CONDITIONS
• Weighted isoperimetric inequalities on ℝⁿ and applications to rearrangements
• On harnack type inequalities and their application to quasilinear elliptic equations
• The Isoperimetric Problem for Minkowski Area

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