Remarks on the spectrum of a non-local Dirichlet problem

被引：1

作者：

Benguria, Rafael D. ^{[1
]}

Pereira, Marcone C. ^{[2
]}

机构：

[1] Pontificia Univ Catolica Chile, Dept Fis, Casilla 306, Santiago 22, Chile

[2] IME Univ Sao Paulo, Dept Matemat Aplicada, Rua Matao 1010, Sao Paulo, SP, Brazil

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

45C05 (primary); 45A05 (secondary); INEQUALITIES;

D O I：

10.1112/blms.12552

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we analyse the spectrum of non-local Dirichlet problems with non-singular kernels in bounded open sets. The novelty is twofold. First we study the continuity of eigenvalues with respect to domain perturbation via Lebesgue measure. Next, under additional smooth conditions on the kernel and domain, we prove differentiability of simple eigenvalues computing their first derivative discussing extremum problems for eigenvalues.

引用

页码：1898 / 1915

页数：18

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