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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https://www.aimspress.com/article/doi/10.3934/mine.2025002

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