On the best constant in fractional $p$-Poincaré inequalities on cylindrical domains
نویسندگان
چکیده
We investigate the best constants for regional fractional $p$-Poincaré inequality and in cylindrical domains. For special case $p=2$, result was already known due to Chowdhury-Csató-Roy-Sk [Study of Poincaré inequalities on unbounded domains, Discrete Contin. Dyn. Syst., 41(6), 2021]. addressed asymptotic behavior first eigenvalue nonlocal Dirichlet $p$-Laplacian problem when domain is becoming several directions.
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ژورنال
عنوان ژورنال: Differential and Integral Equations
سال: 2021
ISSN: ['0893-4983']
DOI: https://doi.org/10.57262/die034-1112-691