$Optimization problems in rearrangement classes for fractional $ p $-Laplacian equations$

Optimization problems in rearrangement classes for fractional $ p $-Laplacian equations

We discuss two optimization problems related to the fractional $ p $-Laplacian. First, we prove the existence of at least one minimizer for the principal eigenvalue of the fractional $ p $-Laplacian with Dirichlet conditions, with a bounded weight function varying in a rearrangement class. Then, we...

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Bibliographic Details
Main Authors:	Antonio Iannizzotto, Giovanni Porru
Format:	Article
Language:	English
Published:	AIMS Press 2025-02-01
Series:	Mathematics in Engineering
Subjects:	rearrangement class fractional $ p $-laplacian eigenvalues
Online Access:	https://www.aimspress.com/article/doi/10.3934/mine.2025002
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Optimization problems in rearrangement classes for fractional $ p $-Laplacian equations

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