Displaying similar documents to “Riesz-Martin representation for positive super-polyharmonic functions in a Riemannian manifold.”

Biharmonic Green domains in a Riemannian manifold

Sadoon Ibrahim Othman, Victor Anandam (2003)

Commentationes Mathematicae Universitatis Carolinae

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Let R be a Riemannian manifold without a biharmonic Green function defined on it and Ω a domain in R . A necessary and sufficient condition is given for the existence of a biharmonic Green function on Ω .