\(p\)-harmonic 1-forms on complete manifolds
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Publication:2267739
DOI10.1007/S00013-009-0079-3zbMath1210.58001OpenAlexW2018526274MaRDI QIDQ2267739
Liang-Chu Chang, Cheng-Lin Guo, Chiung-Jue Anna Sung
Publication date: 2 March 2010
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-009-0079-3
Differential forms in global analysis (58A10) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (10)
Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ \(L^p\;p\)-harmonic 1-forms on submanifolds in a Hadamard manifold ⋮ Vanishing theorems for \(p\)-harmonic forms on Riemannian manifolds ⋮ A note on \(p\)-harmonic \(\ell\)-forms on complete non-compact manifolds ⋮ Vanishing theorem for \(p\)-harmonic 1-forms on complete submanifolds in spheres ⋮ \(p\)-harmonic \(l\)-forms on complete noncompact submanifolds in sphere with flat normal bundle ⋮ Unnamed Item ⋮ Vanishing theorems for \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality ⋮ \(p\)-harmonic \(\ell\)-forms on Riemannian manifolds with a weighted Poincaré inequality ⋮ The \(p\)-eigenvalue estimates and \(L^q\)\( p\)-harmonic forms on submanifolds of Hadamard manifolds
Cites Work
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- Uniformly elliptic operators on Riemannian manifolds
- Dimension estimate of harmonic forms on complete manifolds
- Green's functions, harmonic functions, and volume comparison
- A Note on p-Harmonic 1-Forms on Complete Manifolds
- On Harnack's theorem for elliptic differential equations
- On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
- A note on harmonic forms on complete manifolds
- Bounded harmonic maps on a class of manifolds
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