A Liouville type theorem for \(p\)-harmonic maps
The author proves a Liouville type theorem for \(p\)-harmonic maps. Namely, considering the Riemannian manifolds \((M,g)\) and \((N,h)\), where \(M\) is complete, noncompact and has nonnegative Ricci curvature and \(N\) has nonpositive sectional curvature, a \(p\)-harmonic map \(u: M\to N\) of \(C^1_{\text{loc}}\)-class is shown to be constant if its energy \(E_p(u)\) is finite, within the general case \(p\geq 2\).
scientific article; zbMATH DE number 1217806