Some identities of Green's function for the polyharmonic operator with the Navier boundary conditions and its applications

被引：1

作者：

Takahashi, Futoshi ^{[1
]}

机构：

[1] Osaka City Univ, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 2-3期

关键词：

Green's function; polyharmonic operator; Navier boundary condition;

D O I：

10.1002/mana.201100236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove several integral identities for Green's function of the polyharmonic operator (-Delta)(p), p epsilon N, under the Navier boundary conditions. As an application, we prove the nondegeneracy of the critical point of the Robin function associated to the Green function on some symmetric domains. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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页码：306 / 319

页数：14

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