On the obstacle problem in fractional generalised Orlicz spaces

We consider the one and the two obstacles problems for the nonlocal nonlinear anisotropic $ g $-Laplacian $ \mathcal{L}_g^s $, with $ 0 < s < 1 $. We prove the strict T-monotonicity of $ \mathcal{L}_g^s $ and we obtain the Lewy-Stampacchia inequalities $ F\leq\mathcal{L}_g^su\leq F\vee\mathcal...

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Bibliographic Details
Main Authors: Catharine W. K. Lo, José Francisco Rodrigues
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2024026
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