Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces

This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator A acting from W 0 1 L M ( Ω ) to its dual for N -function M , and two lower-order terms g ( x , u , ∇ u ) and H ( x , ∇ u ) . It is assu...

Full description

Saved in:
Bibliographic Details
Published in:Journal of elliptic and parabolic equations 2023-06, Vol.9 (1), p.171-189
Main Authors: Ait Khellou, M., Douiri, S. M., Farjil, H., Haddani, I., Moumni, M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Partial Differential Equations
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is devoted to the existence of solutions in the context of Orlicz spaces for strongly nonlinear elliptic unilateral problems with a Leray-Lions operator A acting from W 0 1 L M ( Ω ) to its dual for N -function M , and two lower-order terms g ( x , u , ∇ u ) and H ( x , ∇ u ) . It is assumed that the non-linear term g satisfies a growth condition on ∇ u and a sign condition on u , while the convection term H is only growing at most as M - 1 M ( | ∇ u | ) . The source term f belongs to L 1 ( Ω ) .
ISSN:2296-9020
2296-9039
DOI:10.1007/s41808-022-00197-2