Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition

DOI10.1007/S11118-020-09887-9zbMath1483.35051OpenAlexW3129041148MaRDI QIDQ2073785

Yanyan Li

Publication date: 8 February 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-020-09887-9

zbMATH Keywords

isoperimetric inequalitiesreverse Hölder inequalityeigenfunctiontorsional rigidityintegral Ricci curvature

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) A priori estimates in context of PDEs (35B45) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)

Related Items (3)

A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on 𝑅𝐶𝐷(𝐾,𝑁) spaces ⋮ Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains ⋮ Talenti's comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature

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