Multi-point Maximum Principles and Eigenvalue Estimates
From MaRDI portal
Publication:5118796
DOI10.1007/978-3-030-38230-8_13zbMath1441.35179OpenAlexW3015566917MaRDI QIDQ5118796
Publication date: 27 August 2020
Published in: 2018 MATRIX Annals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-38230-8_13
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) A priori estimates in context of PDEs (35B45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Embedded minimal tori in \(S^3\) and the Lawson conjecture
- Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
- Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
- Moduli of continuity for viscosity solutions on manifolds
- An optimal Poincaré inequality for convex domains
- Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable
- Maximum principles and their applications
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Application of coupling method to the first eigenvalue on manifold
- Some new results on eigenvectors via dimension, diameter, and Ricci curvature
- A pointwise gradient bound for elliptic equations on compact manifolds with nonnegative Ricci curvature
- Embedded constant mean curvature tori in the three-sphere
- Sharp fundamental gap estimate on convex domains of sphere
- Gradient estimates via two-point functions for elliptic equations on manifolds
- Gradient bounds for anisotropic partial differential equations
- Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
- Proof of the fundamental gap conjecture
- Time-interior gradient estimates for quasilinear parabolic equations
- Lower Bounds of the Gap Between the First and Second Eigenvalues of the Schrodinger Operator
- A gradient bound and a liouville theorem for nonlinear poisson equations
- Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
- Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
- On the Ranges of Eigenfunctions on Compact Manifolds
- The Eigenvalue Gap for One-Dimensional Convex Potentials
- A gradient bound for entire solutions of quasi‐linear equations and its consequences
- Eigenvalue Comparison on Bakry-Emery Manifolds
- Best constants in Poincar\'e inequalities for convex domains
This page was built for publication: Multi-point Maximum Principles and Eigenvalue Estimates