<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 <italic>p</italic>&amp;<italic>q−</italic>Laplacian operator.</p>
</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.

Symmetrization for Mixed Operators

Mathematics Department, Faculty of Sciences

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Symmetrization for Mixed Operators"}

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...

Symmetrization for Mixed Operators

Published Online: Apr 27, 2024

Page range: -

Received: Oct 16, 2023

Accepted: Mar 25, 2024

DOI: https://doi.org/10.2478/amsil-2024-0013

Keywords
Talenti’s comparison, Faber–Krahn’ mixed operators

© 2024 Sabri Bahrouni, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Symmetrization for Mixed Operators

Published Online: Apr 27, 2024

Page range: -

Received: Oct 16, 2023

Accepted: Mar 25, 2024

DOI: https://doi.org/10.2478/amsil-2024-0013

KeywordsTalenti’s comparison, Faber–Krahn’ mixed operators

© 2024 Sabri Bahrouni, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Talenti’s comparison, Faber–Krahn’ mixed operators