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...
Saved in:
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators
by: Jinxia Cen, et al.
Published: (2024-07-01) -
Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces
by: Li Hongliang
Published: (2025-07-01) -
β Property in MusielakOrlicz Sequence Spaces Equipped with the Orlicz Norm
by: ZUO Mingxia, et al.
Published: (2020-08-01) -
Property ( k) of Orlicz Sequence Spaces
by: ZUO Ming-xia, et al.
Published: (2017-12-01) -
Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation
by: Qing Wang, et al.
Published: (2019-01-01)