Conformal Killing Vector Fields and Rellich Type Identities on Riemannian Manifolds, II

被引：8

作者：

Bozhkov, Yuri ^{[2
]}

Mitidieri, Enzo ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

[2] Univ Estadual Campinas, UNICAMP, IMECC, BR-13083859 Campinas, SP, Brazil

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Riemannian Manifolds; Killing vector fields; Rellich identities; Pohozaev's Identity; SYMMETRIES;

D O I：

10.1007/s00009-011-0126-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 20

页数：20

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