\(p\)-Fundamental tone estimates of submanifolds with bounded mean curvature
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Publication:1674871
DOI10.1007/s10455-017-9557-1zbMath1432.53081OpenAlexW2604368841MaRDI QIDQ1674871
Israel Evangelista, Keomkyo Seo
Publication date: 26 October 2017
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-017-9557-1
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (5)
Biharmonic maps and biharmonic submanifolds with small curvature integral ⋮ Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces ⋮ Geometric estimates on weighted p-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature ⋮ On the fundamental tone of the \(p\)-Laplacian on Riemannian manifolds and applications ⋮ The \(p\)-eigenvalue estimates and \(L^q\)\( p\)-harmonic forms on submanifolds of Hadamard manifolds
Cites Work
- Isoperimetric inequalities for submanifolds with bounded mean curvature
- Volume growth, number of ends, and the topology of a complete submanifold
- Eigenvalue estimates for the \(p\)-Laplace operator on manifolds
- A note on Hayman's theorem on the bass note of a drum
- On the first eigenvalue of the \(p\)-Laplacian in a Riemannian manifold
- Eigenvalue estimates for submanifolds with locally bounded mean curvature
- A direct uniqueness proof for equations involving the \(p\)-Laplace operator
- Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
- On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
- \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold
- On the curvatures of a piece of hypersurface in Euclidean space
- An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
- On the first variation of a varifold
- Sharp estimates for the size of balls in the complement of a hypersurface
- Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- On Bernstein–Heinz–Chern–Flanders inequalities
- An Estimate for the Curvature of Bounded Submanifolds
- Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds and their Applications
- Graphs with Parallel Mean Curvature
- A lower estimation of the principal frequencies of simply connected membranes
- Remark on Mean Curvature
- Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space
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