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.
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页码：657 / 678
页数：22
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