Conformal Killing Vector Fields and Rellich Type Identities on Riemannian Manifolds, II |
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| Authors: | Yuri Bozhkov Enzo Mitidieri |
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| Affiliation: | 1. Instituto de Matem??tica, Estatistica e Computa??o Cient??fica - IMECC, Universidade Estadual de Campinas - UNICAMP, Rua S??rgio Buarque de Holanda, 651, 13083-859, Campinas, SP, Brasil
2. Dipartimento di Matematica e Informatica, Universit?? degli Studi di Trieste, Via Valerio 12/1, 34127, Trieste, Italy
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| 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. |
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