Eigenvalue estimates for the \(p\)-Laplace operator on manifolds

DOI10.1016/j.na.2009.07.019zbMath1188.58008arXiv0808.2028OpenAlexW2107022596MaRDI QIDQ1049037

José Fábio Bezerra Montenegro, Newton Luís Santos, Barnabé Pessoa Lima

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2028

zbMATH Keywords

Riemannian manifold\(p\)-Laplacianvolume growth\(p\)-fundamental tone

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (9)

Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces ⋮ Geometric estimates on weighted p-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature ⋮ \(p\)-Fundamental tone estimates of submanifolds with bounded mean curvature ⋮ REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS ⋮ Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian ⋮ The \(p\)-hyperbolicity of infinity volume ends and applications ⋮ Extremal p -Laplacian eigenvalues ⋮ On nonexistence of positive solutions of quasi-linear inequality on Riemannian manifolds ⋮ On the entropies of hypersurfaces with bounded mean curvature

Cites Work

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• Existence of positive solutions for a class of the p-Laplace equations
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