Boundary behavior of solutions to fractional p-Laplacian equation

2023/04/07 by Ataei, Alireza
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.03624

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.

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