TY - JOUR T1 - Existence of Harmonic Functions with Finite Energy on Complete Riemannian Manifolds AU - Li Jiayu, Wang Silei JO - Journal of Partial Differential Equations VL - 3 SP - 257 EP - 263 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5686.html KW - Harmonic function KW - finite energy KW - noncompact manifold AB - Let M be a noncompact complete Riemannian manifold. We consider the existence of harmonic functions with |∇u| ∈ L^p(M).