Symmetrization for mixed operators

Sabri Bahrouni
https://orcid.org/0000-0002-0589-5806


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.


Keywords

Talenti’s comparison; Faber–Krahn’ mixed operators; mass concentration

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Published : 2024-04-27


BahrouniS. (2024). Symmetrization for mixed operators. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/17431

Sabri Bahrouni  sabri.bahrouni@fsm.rnu.tn
Mathematics Department, Faculty of Sciences, University of Monastir  Tunisia
https://orcid.org/0000-0002-0589-5806



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