On the fundamental tone of the \(p\)-Laplacian on Riemannian manifolds and applications

DOI10.1016/J.JMAA.2021.125703zbMath1490.35189OpenAlexW3203173991WikidataQ115345861 ScholiaQ115345861MaRDI QIDQ2235838

Francisco G. de S. Carvalho, Marcos Petrúcio De A. Cavalcante

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125703

zbMATH Keywords

Riemannian manifoldsRayleigh quotient\(p\)-Laplaciannonlinear eigenvalue

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Elliptic equations on manifolds, general theory (58J05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Curvature estimates for submanifolds immersed into horoballs and horocylinders
• Eigenvalue estimates for hypersurfaces in \(\mathbb H^{m} \times \mathbb R\) and applications
• The \(p\)-hyperbolicity of infinity volume ends and applications
• On the lowest eigenvalue of the Hodge Laplacian on compact, negatively curved domains
• Geometry of horospheres
• Eigenvalue estimates for submanifolds with locally bounded mean curvature
• A remark on the inequality of McKean
• \(p\)-Fundamental tone estimates of submanifolds with bounded mean curvature
• Estimates for the first eigenvalue of the drifting Laplace and the p-Laplace operators on submanifolds with bounded mean curvature in the hyperbolic space
• Extremal domains on Hadamard manifolds
• Spectral estimates and discreteness of spectra under Riemannian submersions
• The fundamental equations of a submersion
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• On the perturbation of eigenvalues for the -Laplacian
• Bounds on the Principal Frequency of the $p$-Laplacian
• Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• On the fundamental tone of immersions and submersions
• Existence of positive solutions for a class of the p-Laplace equations
• Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space

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