The first non-zero Neumann $p-$fractional eigenvalue

Leandro M. Del Pezzo, Ariel M. Salort

In this work we study the asymptotic behavior of the first non-zero Neumann $p-$fractional eigenvalue ${\lambda }_1(s,p)$ as $s\to 1^{-}$ and as $p\to \infty .$ We show that there exists a cons…