\(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold
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Publication:2406449
DOI10.1007/s10231-016-0625-0zbMath1379.53056OpenAlexW2555564649WikidataQ115385047 ScholiaQ115385047MaRDI QIDQ2406449
Publication date: 29 September 2017
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-016-0625-0
first eigenvalue\(p\)-harmonic functionconnectedness at infinity\(\delta\)-stability\(p\)-nonparabolicity
Global submanifolds (53C40) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Unnamed Item
- Unnamed Item
- \(L^p\;p\)-harmonic 1-forms on submanifolds in a Hadamard manifold
- A note on \(p\)-harmonic \(l\)-forms on complete manifolds
- Local gradient estimate for \(p\)-harmonic functions on Riemannian manifolds
- Isoperimetric inequalities for submanifolds with bounded mean curvature
- \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature
- Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold
- The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities
- The \(p\)-hyperbolicity of infinity volume ends and applications
- On removable singularities of p-harmonic maps
- Stable minimal hypersurfaces in a Riemannian manifold with pinched negative sectional curvature
- Ends of metric measure spaces and Sobolev inequalities
- \(L^{2}\) harmonic 1-forms on minimal submanifolds in hyperbolic space
- Regularity for a more general class of quasilinear equations
- Stability of minimal hypersurfaces
- A Liouville type theorem for \(p\)-harmonic maps
- The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
- Eigenvalue estimates for submanifolds with locally bounded mean curvature
- Total scalar curvature and \(L^2\) harmonic 1-forms on a minimal hypersurface in Euclidean space
- Minimal hypersurfaces with finite index
- Gap theorems for minimal submanifolds in \(\mathbb{R}^{n+1}\)
- On the structure of complete hypersurfaces in a Riemannian manifold of nonnegative curvature and \(L^2\) harmonic forms
- Rigidity of minimal submanifolds in hyperbolic space
- On \(p\)-harmonic maps and convex functions
- Minimal submanifolds with small total scalar curvature in Euclidean space
- Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds
- Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
- \(L^p\) harmonic \(1\)-forms and first eigenvalue of a stable minimal hypersurface
- Liouville properties for 𝑝-harmonic maps with finite 𝑞-energy
- On stable complete minimal hypersurfaces in R n +1
- An Estimate on the Ricci Curvature of a Submanifold and Some Applications
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- Stable minimal hypersurfaces in a nonnegatively curved manifold
- On minimal submanifolds in an Euclidean space
- Geometric Analysis
- Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space