\(p\)-parabolicity and a generalized Bochner's method with applications
From MaRDI portal
Publication:6611803
DOI10.1007/s44007-024-00101-5MaRDI QIDQ6611803
Junfang Li, Lina Wu, Shihshu Walter Wei
Publication date: 27 September 2024
Published in: La Matematica (Search for Journal in Brave)
stable minimal hypersurfaces\(p\)-parabolicityBernstein problem\(p\)-harmonic morphisms\(p\)-moderate growth\(p\)-subharmonicitygeneralized Bochner's method
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometric aspects of harmonic maps (53C43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a generalized 1-harmonic equation and the inverse mean curvature flow
- On the conformal type of a Riemannian manifold
- Regularity of minimizing harmonic maps into the sphere
- Generalizations of the uniformization theorem and Bochner's method in \(p\)-harmonic geometry
- On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\).
- A mapping of Riemannian manifolds which preserves harmonic functions
- Subharmonic functions on real and complex manifolds
- The existence of minimal immersions of 2-spheres
- When is a geodesic flow of Anosov type, II
- Curvature estimates for minimal hypersurfaces
- Harmonic morphisms between Riemannian manifolds
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
- Brownian motions and generalized analytic and inner functions
- An elementary method in the study of nonnegative curvature
- Harmonic and quasi-harmonic spheres
- Gradient estimates and blow-up analysis for stationary harmonic maps
- Regularity of \(p\)-energy minimizing maps and \(p\)-superstrongly unstable indices
- On \(p\)-harmonic morphisms
- Nonlinear partial differential systems on Riemannian manifolds with their geometric applica\-tions.
- A classification and some constructions of \(p\)-harmonic morphisms
- A sharp \(L^q\)-Liouville theorem for \(p\)-harmonic functions
- Volume growth, Green's functions, and parabolicity of ends
- Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds
- On \(p\)-harmonic maps and convex functions
- A note on curvature and fundamental group
- A class of compact, complex manifolds which are not algebraic
- Volume growth and parabolicity
- GROWTH ESTIMATES FOR WARPING FUNCTIONS AND THEIR GEOMETRIC APPLICATIONS
- Remarks on Stable Minimal Hypersurfaces in Riemannian Manifolds and Generalized Bernstein Problems
- Convex Supporting Domains on Surfaces
- Positive Solutions of Quasilinear Elliptic Equations on Riemannian Manifolds
- Nonexistence of Stable Harmonic Maps To and From Certain Homogeneous Spaces and Submanifolds of Euclidean Space
- Mappings minimizing theLp norm of the gradient
- On Harnack's theorem for elliptic differential equations
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Stable complete minimal surfaces in 𝑅³ are planes
- Harmonic functions on complete riemannian manifolds
- Differential equations on riemannian manifolds and their geometric applications
- Representing homotopy groups and spaces of maps by p-harmonic maps
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications
- Manifolds of Negative Curvature
- Convex Functions and Harmonic Maps
- Harmonic Mappings of Riemannian Manifolds
- Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems
- Convex functions are \(p\)-subharmonic functions, \(p>1\), on \(\mathbb{R}^n\), with applications
This page was built for publication: \(p\)-parabolicity and a generalized Bochner's method with applications