Sharp spectral gap for the Finsler \(p\)-Laplacian

DOI10.1007/s11425-018-9510-5zbMath1423.53094OpenAlexW2946174242MaRDI QIDQ2273749

Qiaoling Xia

Publication date: 18 September 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-018-9510-5

zbMATH Keywords

first eigenvalueweighted Ricci curvatureFinsler \(p\)-Laplaciangradient comparison

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (7)

On an anisotropic \(p\)-Laplace equation with variable singular exponent ⋮ Geometric and functional inequalities on Finsler manifolds ⋮ A note on improved differentiability for the Banach-space valued Finsler \(\gamma\)-Laplacian ⋮ Gradient Ricci solitons on Kropina measure spaces ⋮ An optimal transport formulation of the Einstein equations of general relativity ⋮ Some \(L^p\) Liouville theorems on Finsler measure spaces ⋮ Li-Yau's estimates on Finsler manifolds

Cites Work

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• The first eigenfunctions and eigenvalue of the \(p\)-Laplacian on Finsler manifolds
• Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
• Some Liouville-type theorems for harmonic functions on Finsler manifolds
• On the spectral gap for compact manifolds
• Comparison theorems in Finsler geometry and their applications
• Uniform convexity and smoothness, and their applications in Finsler geometry
• Finsler interpolation inequalities
• Regularity for a more general class of quasilinear equations
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• The first eigenvalue of the \(p\)-Laplacian on a compact Riemannian manifold.
• Some new results on eigenvectors via dimension, diameter, and Ricci curvature
• Sharp spectral gap and Li-Yau's estimate on Alexandrov spaces
• First eigenvalue for the \(p\)-Laplace operator
• A sharp lower bound for the first eigenvalue on Finsler manifolds with nonnegative weighted Ricci curvature
• The first eigenvalue of Finsler \(p\)-Laplacian
• Elliptic problems on the ball endowed with Funk-type metrics
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• Eigenvalue problems for the \(p\)-Laplacian
• Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
• Eigenvalues and eigenfunctions of metric measure manifolds
• ON THE FIRST EIGENCONE FOR THE FINSLER LAPLACIAN
• Heat flow on Finsler manifolds
• Boundary regularity for solutions of degenerate elliptic equations
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions

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