On the spectrum of the \(p\)-biharmonic operator under the Ricci flow

DOI10.1007/s00025-020-1182-9zbMath1435.53068OpenAlexW3011881617MaRDI QIDQ2309616

Chong Yang, Abimbola Abolarinwa, Deng Hua Zhang

Publication date: 1 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-1182-9

zbMATH Keywords

monotonicityeigenvalueRicci flowbiharmonic operator

Mathematics Subject Classification ID

Spectral theory; eigenvalue problems on manifolds (58C40) Ricci flows (53E20)

Related Items (3)

Comparison estimates on the first eigenvalue of a quasilinear elliptic system ⋮ Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow

Cites Work

• The first eigenvalue of \(p\)-Laplace operator under powers of the \(m\)th mean curvature flow
• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Differential Harnack and logarithmic Sobolev inequalities along Ricci-harmonic map flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Evolution and monotonicity of the first eigenvalue of \(p\)-Laplacian under the Ricci-harmonic flow
• Eigenvalues of the weighted Laplacian under the extended Ricci flow
• \(L^p\)-Hardy-Rellich and uncertainty principle inequalities on the sphere
• Three-manifolds with positive Ricci curvature
• Rayleigh's conjecture on the principal frequency of the clamped plate
• Monotonicity formulas for the first eigenvalue of the weighted \(p\)-Laplacian under the Ricci-harmonic flow
• On the spectrum of the weighted \(p\)-Laplacian under the Ricci-harmonic flow
• On the spectrum of the weighted \(p\)-biharmonic operator with weight
• First eigenvalues of geometric operators under the Ricci flow
• Monotonicity of the first eigenvalue of the Laplace and the p-Laplace operators under a forced mean curvature flow
• The first eigenvalue of the p -Laplace operator under powers of mean curvature flow
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