Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. I

DOI10.1007/s12220-021-00613-4zbMath1475.35218OpenAlexW3126640520MaRDI QIDQ2050641

Kui Wang, Xiaolong Li

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00613-4

zbMATH Keywords

modulus of continuityeigenvalue estimatesweighted \(p\)-LaplacianBakry-Émery manifoldsgradient comparison theorem

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) Quasilinear elliptic equations with (p)-Laplacian (35J92) PDEs on manifolds (35R01)

Related Items (6)

Lower bounds for the first eigenvalue of 𝑝-Laplacian on Kähler manifolds ⋮ On the first eigenvalue of the 𝑝-Laplacian on Riemannian manifolds ⋮ Eigenvalue estimates on quaternion-Kähler manifolds ⋮ Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds ⋮ Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds ⋮ Modulus of continuity estimates for fully nonlinear parabolic equations

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