Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds
From MaRDI portal
Publication:616883
DOI10.1016/j.aim.2010.08.006zbMath1218.58015arXiv0812.0229OpenAlexW2963539932WikidataQ115362094 ScholiaQ115362094MaRDI QIDQ616883
Eduardo V. Teixeira, Lei Zhang
Publication date: 12 January 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.0229
Smoothness and regularity of solutions to PDEs (35B65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems on manifolds (58J32)
Related Items
A new glance to the Alt-Caffarelli-Friedman monotonicity formula ⋮ Recent results on nonlinear elliptic free boundary problems ⋮ Perron's solutions for two-phase free boundary problems with distributed sources
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A local parabolic monotonicity formula on Riemannian manifolds
- Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- The obstacle problem revisited
- On the existence of convex classical solutions to a generalized Prandtl-Batchelor free boundary problem
- Some new monotonicity theorems with applications to free boundary problems.
- Analysis on geodesic balls of sub-elliptic operators
- A parabolic almost monotonicity formula
- On steady laminar flow with closed streamlines at large Reynolds number
- A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
- Weakly Differentiable Functions
- Variational problems with two phases and their free boundaries
- C1, 1 Regularity in semilinear elliptic problems
- Variational Formulas on Lipschitz Domains
