Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II

Details Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II

2010-12-14

arxiv.org/abs/1012.2993v2

Mathematics

Analysis of PDEs

Scientific paper

We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Riemannian manifolds admitting homothetic transformations. Then we prove a biharmonic Rellich identity in a more general context. We also establish a nonexistence result for semilinear systems involving biharmonic operators.

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