The first eigenvalue of the p -Laplace operator under powers of mean curvature flow

DOI10.1002/mma.2835zbMath1288.53068OpenAlexW2050115249MaRDI QIDQ5416721

Liang Zhao

Publication date: 14 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2835

zbMATH Keywords

monotonicityeigenvalueflow\(p\)-Laplace operator\(H^{k}\)

Mathematics Subject Classification ID

Related Items (8)

Evolution of the Steklov eigenvalue under geodesic curvature flow ⋮ A class of monotonic quantities along the Yamabe flow ⋮ Evolution of the first eigenvalue along the inverse mean curvature flow in space forms ⋮ Evolution and monotonicity of eigenvalues under the Ricci flow ⋮ Estimates and monotonicity of the first eigenvalues under the Ricci flow on closed surfaces ⋮ 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

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
• Addenda to ``The entropy formula for linear heat equation
• Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
• Evolution of convex hypersurfaces by powers of the mean curvature
• First eigenvalue of the \(p\)-Laplace operator along the Ricci flow
• First eigenvalues of geometric operators under the Ricci flow

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