A general form of the weak maximum principle and some applications
From MaRDI portal
Publication:2436067
DOI10.4171/RMI/764zbMath1296.58009arXiv1303.4861OpenAlexW2594189798MaRDI QIDQ2436067
Guglielmo Albanese, Marco Rigoli, Luis J. Alías
Publication date: 21 February 2014
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.4861
Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Rigidity of self-shrinkers and translating solitons of mean curvature flows ⋮ Stability property and Dirichlet problem for translating solitons ⋮ Lichnerowicz-type equations on complete manifolds ⋮ Some inequalities for the Omori-Yau maximum principle ⋮ Complete minimal submanifolds with nullity in Euclidean space ⋮ Higher order mean curvature estimates for bounded complete hypersurfaces ⋮ Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Higher order mean curvature estimates for complete hypersurfaces into horoballs ⋮ Submanifolds with nonpositive extrinsic curvature ⋮ Maximum principle for semi-elliptic trace operators and geometric applications ⋮ The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones
Cites Work
- Higher order mean curvature estimates for bounded complete hypersurfaces
- A mean curvature estimate for cylindrically bounded submanifolds
- Maximum principles and gradient Ricci solitons
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- The mean curvature of cylindrically bounded submanifolds
- Hypersurfaces with constant scalar curvature
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Elliptic partial differential equations of second order
- Constant positive 2-mean curvature hypersurfaces
- Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes
- NONLINEAR WEIGHTED p-LAPLACIAN ELLIPTIC INEQUALITIES WITH GRADIENT TERMS
- Nonconvex minimization problems
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Isoperimetric properties of higher eigenvalues of elliptic operators
- Hypersurfaces of constant higher order mean curvature in warped products
- CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
This page was built for publication: A general form of the weak maximum principle and some applications
