\(p\)-harmonic maps and convex functions
The following theorem is proved. Let \(M\) be a complete noncompact Riemannian manifold, \(N\) a simply connected Riemannian manifold of nonpositive curvature, and \(\varphi:M\to N\) a \(C^1\) \(p\)-harmonic map. Then \(\varphi\) is constant, provided that \(\int_M\|d\varphi \|^{p-1}< \infty\).
scientific article; zbMATH DE number 1270438