On a class of Cheeger inequalities

被引：0

作者：

Briani, Luca ^{[1
]}

Buttazzo, Giuseppe ^{[1
]}

Prinari, Francesca ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56127 Pisa, Italy

[2] Univ Pisa, Dipartimento Sci Agr Alimentari & Agroambientali, Via Borghetto 80, I-56124 Pisa, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 02期

关键词：

Cheeger constant; Principal eigenvalue; Shape optimization; p-Laplacian; EIGENVALUE; UNIQUENESS; FREQUENCY; INRADIUS;

D O I：

10.1007/s10231-022-01255-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a general version of the Cheeger inequality by considering the shape functional F-p,F-q(Omega) = lambda(1/p)(p)(Omega)/lambda q(1/q)(Omega). The infimum and the supremum of F-p,F-q are studied in the class of all domains Omega of R-d and in the subclass of convex domains. In the latter case the issue concerning the existence of an optimal domain for F-p,F-q is discussed.

引用

页码：657 / 678

页数：22

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