Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner Inequalities for Fractional Elliptic Problems
نویسندگان
چکیده
In this paper, in the cylindrical domain, we consider a fractional elliptic operator with Dirichlet conditions. We prove, that first eigenvalue of is minimised circular cylinder among all domains same Lebesgue measure. This inequality called Rayleigh–Faber–Krahn inequality. Also, give Lyapunov and Hartmann–Wintner inequalities for boundary value problem.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2023
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-023-02334-0