On the Liouville Theorem for Harmonic Maps
From MaRDI portal
Publication:3945192
DOI10.2307/2043289zbMath0485.53038OpenAlexW4232201424MaRDI QIDQ3945192
Publication date: 1982
Full work available at URL: https://doi.org/10.2307/2043289
Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)
Related Items (27)
Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds ⋮ Weighted \(p\)-harmonic functions and rigidity of smooth metric measure spaces ⋮ Heat flows and harmonic maps with a free boundary ⋮ An energy estimate of an exterior problem and a Liouville theorem for harmonic maps ⋮ Energy estimates for the supersymmetric nonlinear sigma model and applications ⋮ Gauss maps of translating solitons of mean curvature flow ⋮ Pseudo-harmonic maps from complete noncompact pseudo-Hermitian manifolds to regular balls ⋮ Some remarks on energy inequalities for harmonic maps with potential ⋮ Gradient estimates and Liouville theorems for Dirac-harmonic maps ⋮ Notes on anisotropic Liouville-type theorems for 3D stationary nematic liquid crystal equations ⋮ Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \({\mathrm{CAT}}(1)\) spaces ⋮ On Liouville-type theorems for the stationary nematic liquid crystal equations ⋮ Liouville theorem for \(V\)-harmonic maps under non-negative \((m, V)\)-Ricci curvature for non-positive \(m\) ⋮ Harmonic maps with finite total energy ⋮ A stochastic approach to a priori estimates and Liouville theorems for harmonic maps ⋮ Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen ⋮ Bounded harmonic maps on a class of manifolds ⋮ Boundary behavior of harmonic maps on non-smooth domains and complete negatively curved manifolds ⋮ Gradient estimate for exponentially harmonic functions on complete Riemannian manifolds ⋮ Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds ⋮ Quantitative gradient estimates for harmonic maps into singular spaces ⋮ Area comparison, superharmonic functions, and applications ⋮ Liouville theorems for exponentially harmonic functions on Riemannian manifolds ⋮ Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry ⋮ Gradient estimate and Liouville theorems for \(p\)-harmonic maps ⋮ Heat equation for harmonic maps of the compactification of complete manifolds ⋮ The heat flows and harmonic maps from complete manifolds into regular balls
Cites Work
This page was built for publication: On the Liouville Theorem for Harmonic Maps