On \(p\)-harmonic maps and convex functions

DOI10.1007/s00229-010-0335-7zbMath1187.58022arXiv0904.4497OpenAlexW2085181405MaRDI QIDQ2268179

Giona Veronelli

Publication date: 10 March 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4497

zbMATH Keywords

convex function\(p\)-harmonic map\(p\)-subharmonic

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items

\(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold, A general comparison theorem for \(p\)-harmonic maps in homotopy class, Scalar curvature via local extent, On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure, Density and non-density of \(C_c^\infty\hookrightarrow W^{k,p}\) on complete manifolds with curvature bounds

Cites Work

• Unnamed Item
• Generalizations of the uniformization theorem and Bochner's method in \(p\)-harmonic geometry
• A mapping of Riemannian manifolds which preserves harmonic functions
• \(p\)-harmonic maps and convex functions
• On \(p\)-harmonic morphisms
• A remark on convex functions and \(p\)-harmonic maps
• Constancy of \(p\)-harmonic maps of finite \(q\)-energy into non-positively curved manifolds
• Representing homotopy groups and spaces of maps by p-harmonic maps
• Entire solutions of quasilinear differential equations corresponding to p-harmonic maps
• Positive solutions of second order quasilinear equations corresponding to p-harmonic maps