A non-local semilinear eigenvalue problem

Abstract
We prove that positive solutions of the fractional Lane-Emden equation with homogeneous Dirichlet boundary conditions satisfy pointwise estimates in terms of the best constant in Poincaré's inequality on all open sets, and are isolated in $L^1$ on smooth bounded ones, whence we deduce the isolation of the first non-local semilinear eigenvalue .
Anno
2022
Autori IAC
Tipo pubblicazione
Altri Autori
Franzina, G.; Licheri, D.
Editore
Bulgarian Academy of Sciences. Institute of Mathematics and Informatics
Rivista
Fractional Calculus & Applied Analysis (Print)