Symmetrization for Mixed Operators

Sabri Bahrouni

doi:10.2478/amsil-2024-0013

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Symmetrization for Mixed Operators

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 1 (March 2025)

By: Sabri Bahrouni

Open Access

|Apr 2024

Abstract

In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–Laplacian operator.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0013 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 64 - 75

Submitted on: Oct 16, 2023

Accepted on: Mar 25, 2024

Published on: Apr 27, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

35R11,

47A75

Related subjects:

Mathematics,

General mathematics

© 2024 Sabri Bahrouni, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 1 (March 2025)