The first eigenvalue of \(p\)-Laplace operator under powers of the \(m\)th mean curvature flow

DOI10.1007/s00025-012-0242-1zbMath1270.53089OpenAlexW2069775799MaRDI QIDQ351090

Liang Zhao

Publication date: 11 July 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-012-0242-1

zbMATH Keywords

monotonicityeigenvalue\(p\)-Laplace operator

Mathematics Subject Classification ID

Related Items (14)

Eigenvalues monotonicity of Witten-Laplacian along the mean curvature flow ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ The first nonzero eigenvalue of the \((p,q)\)-Laplace system along the inverse mean curvature flow with forced term ⋮ Evolution of the first eigenvalue along the inverse mean curvature flow in space forms ⋮ First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow ⋮ Eigenvalues of the weighted Laplacian under the extended Ricci flow ⋮ Evolution and monotonicity of eigenvalues under the Ricci flow ⋮ Monotonicity of the first eigenvalue of the Laplace and the p-Laplace operators under a forced mean curvature flow ⋮ Estimates and monotonicity of the first eigenvalues under the Ricci flow on closed surfaces ⋮ Isoperimetric inequalities for eigenvalues by inverse mean curvature flow ⋮ Evolution of the first eigenvalue of the Laplace operator and the \(p\)-Laplace operator under a forced mean curvature flow ⋮ On the spectrum of the \(p\)-biharmonic operator under the Ricci flow ⋮ Monotonicity of first eigenvalues along the Yamabe flow ⋮ Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous \(3\)-manifolds

Cites Work

• First eigenvalue monotonicity for the \(p\)-Laplace operator under the Ricci flow
• Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
• Volume-preserving flow by powers of the \(m\)th mean curvature
• Addenda to ``The entropy formula for linear heat equation
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Eigenvalue monotonicity for the Ricci-Hamilton flow
• First eigenvalue of the \(p\)-Laplace operator along the Ricci flow
• First eigenvalues of geometric operators under the Ricci flow

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