Regularity of all minimizers of a class of spectral partition problems

Regularity of all minimizers of a class of spectral partition problems

We study a rather broad class of optimal partition problems with respect to monotone and coercive functional costs that involve the Dirichlet eigenvalues of the partitions. We show a sharp regularity result for the entire set of minimizers for a natural relaxed version of the original problem, toget...

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Bibliographic Details
Main Authors: Hugo Tavares, Alessandro Zilio
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:Mathematics in Engineering
Subjects:
elliptic competitive systems
optimal partition problems
laplacian eigenvalues
segregation phenomena
extremality conditions
regularity of free boundary problems
blowup techniques
Online Access:https://www.aimspress.com/article/10.3934/mine.2021002/fulltext.html

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https://www.aimspress.com/article/10.3934/mine.2021002/fulltext.html

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