Liouville type theorem about \(p\)-harmonic function and \(p\)-harmonic map with finite \(L^q\)-energy

DOI10.1007/S11401-017-1023-7zbMath1381.53108OpenAlexW2750810579MaRDI QIDQ681048

Xiangzhi Cao

Publication date: 30 January 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1023-7

zbMATH Keywords

Liouville theoremindex\(p\)-harmonic mapKato inequality

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Rigidity results (53C24)

Cites Work

• On the homotopy class of maps with finite \(p\)-energy into non-positively curved manifolds
• Complete submanifolds in manifolds of partially non-negative curvature
• Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds
• Vanishing theorems on Riemannian manifolds, and geometric applications
• A note on Bochner type theorems for complete manifolds
• Unnamed Item
• Unnamed Item

This page was built for publication: Liouville type theorem about \(p\)-harmonic function and \(p\)-harmonic map with finite \(L^q\)-energy