Monotonicity of the first eigenvalue of the Laplace and the p-Laplace operators under a forced mean curvature flow
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Publication:4561672
zbMath1412.58004arXiv1310.5437MaRDI QIDQ4561672
Publication date: 12 December 2018
Full work available at URL: https://arxiv.org/abs/1310.5437
Related Items (6)
Eigenvalues monotonicity of Witten-Laplacian along the mean curvature flow ⋮ On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow ⋮ 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 ⋮ Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous \(3\)-manifolds
Cites Work
- Unnamed Item
- Convex mean curvature flow with a forcing term in direction of the position vector
- The first eigenvalue of \(p\)-Laplace operator under powers of the \(m\)th mean curvature flow
- Estimate and monotonicity of the first eigenvalue under the Ricci flow
- Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds
- Flow by mean curvature of convex surfaces into spheres
- Eigenvalues of \(\left(-\triangle + \frac{R}{2}\right)\) on manifolds with nonnegative curvature operator
- Forced convex mean curvature flow in Euclidean spaces
- Volume-preserving flow by powers of the \(m\)th mean curvature
- Contraction of convex hypersurfaces in Euclidean space
- A class of rotationally symmetric quantum layers of dimension 4
- Three-manifolds with positive Ricci curvature
- Forced hyperbolic mean curvature flow
- Deforming two-dimensional graphs in \(R^{4}\) by forced mean curvature flow
- Eigenvalues and energy functionals with monotonicity formulae under Ricci flow
- Eigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernel
- Eigenvalue monotonicity for the Ricci-Hamilton flow
- RIGIDITY AND SPHERE THEOREMS FOR SUBMANIFOLDS II
- ENTIRE GRAPHS UNDER A GENERAL FLOW
- First eigenvalues of geometric operators under the Ricci flow
- RIGIDITY AND SPHERE THEOREMS FOR SUBMANIFOLDS
- A remark on almost umbilical hypersurfaces
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