Existence of Harmonic Functions with Finite Energy on Complete Riemannian Manifolds

Authors

  • Li Jiayu, Wang Silei

Keywords:

Harmonic function; finite energy; noncompact manifold

Abstract

Let M be a noncompact complete Riemannian manifold. We consider the existence of harmonic functions with |∇u| ∈ L^p(M).

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Published

1994-07-01

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Issue

Vol. 7 No. 3 (1994)

Section

Articles

How to Cite

Existence of Harmonic Functions with Finite Energy on Complete Riemannian Manifolds. (1994). Journal of Partial Differential Equations, 7(3), 257-263. https://www.global-sci.com/index.php/jpde/article/view/3776