Boundary behavior of solutions to fractional $p$-Laplacian equation

Abstract

In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional $p$-Laplacian equations. Then, the isolation of the first $(s,p)$-eigenvalue is shown in bounded open sets satisfying the Wiener criterion.

There have been some major corrections to Section 5 and some more clarifications and minor typos in other sections