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Title: On a class of Cheeger inequalities
Authors: Luca, Briani
Giuseppe, Buttazzo
Francesca, Prinari
Issue Date: 2022
Publisher: Springer
Abstract: We study a general version of the Cheeger inequality by considering the shape functional Fp,q(Ω)=λ1/pp(Ω)/λ1/qq(Ω). The infimum and the supremum of Fp,q are studied in the class of all domains Ω of Rd and in the subclass of convex domains. In the latter case the issue concerning the existence of an optimal domain for Fp,q is discussed.
Description: CC BY
URI: https://link.springer.com/article/10.1007/s10231-022-01255-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7422
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