Hopf's lemmas and boundary behaviour of solutions to the fractional
Laplacian in Orlicz-Sobolev spaces
Hopf's lemmas and boundary behaviour of solutions to the fractional
Laplacian in Orlicz-Sobolev spaces
In this article we study different extensions of the celebrated Hopf's boundary lemma within the context of a family of nonlocal, nonlinear and nonstandard growth operators. More precisely, we examine the behavior of solutions of the fractional $a-$Laplacian operator near the boundary of a domain satisfying the interior ball condition. …