This paper deals with the p-harmonic function on a complete non-compact submanifold M isometrically immersed in an(n + k)-dimensional complete Riemannian manifold M of non-negative(n-1)-th Ricci curvature. The Liouvil...This paper deals with the p-harmonic function on a complete non-compact submanifold M isometrically immersed in an(n + k)-dimensional complete Riemannian manifold M of non-negative(n-1)-th Ricci curvature. The Liouville type theorem about the p-harmonic map with finite L^q-energy from complete submanifold in a partially nonnegatively curved manifold to non-positively curved manifold is also obtained.展开更多
基金partially supported by the National Natural Science Foundation of China(No.11571259)
文摘This paper deals with the p-harmonic function on a complete non-compact submanifold M isometrically immersed in an(n + k)-dimensional complete Riemannian manifold M of non-negative(n-1)-th Ricci curvature. The Liouville type theorem about the p-harmonic map with finite L^q-energy from complete submanifold in a partially nonnegatively curved manifold to non-positively curved manifold is also obtained.
