Adel Daoues, Amani Hammami, Kamel Saoudi
Abstract:
In this article we study a nonlocal equation involving singular and critical
Hardy-Sobolev non-linearities,
where
is a bounded domain with Lipschitz boundary
and
is the fractional p-Laplacian operator.
We combine some variational techniques with a perturbation method to show the existence
of multiple solutions.
Submitted November 22, 2022. Published January 26, 2023.
Math Subject Classifications: 35R11, 35J75, 35J60, 46E35.
Key Words: Nonlocal elliptic problem; singular non-linearity; variational method;
Sobolev and Hardy non-linearities; perturbation method; multiple positive solutions.
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Adel Daoues École Supérieure des Sciences et de Technologie de Hammam Sousse Sousse, Tunisia email: adel.daouas@essths.u-sousse.tn |
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Amani Hammami École Supérieure des Sciences et de Technologie de Hammam Sousse Sousse, Tunisia email: amanihammami29@gmail.com |
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Kamel Saoudi Basic and Applied Scientific Research Center Imam Abdulrahman Bin Faisal University, Saudi Arabia email: kmsaoudi@iau.edu.sa |
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