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math.AP2024
Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces
Pablo Ochoa, Ariel Salort
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 p…
math.AP2024
Maximum principles and moving planes method for the fractional -Laplacian
Anouar Bahrouni, Abdelhakim Sahbani, Ariel Salort
In this paper, we investigate the monotonicity of solutions for a nonlinear equations involving the fractional Laplacian with variable exponent. We first prove different maximum pr…