Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Analysis of PDEs
2010-12-21 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1012.2993,
title = {Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II},
author = {Yuri Bozhkov and Enzo Mitidieri},
journal= {arXiv preprint arXiv:1012.2993},
year = {2010}
}