2022 / September Volume 17 No.3
Multiplicity results for a critical and subcritical system involving fractional $p$-Laplacian operator via Nehari manifold method
| Published Date |
2022 / September
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| Title | Multiplicity results for a critical and subcritical system involving fractional $p$-Laplacian operator via Nehari manifold method |
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| Pagination | 355-376 |
| Abstract | In this paper, we study the existence of multiple solutions to some sub-critical and critical systems involving the fractional p-Laplacian operator. Our main tools are based on variational methods. Precisely, the Nehari manifold method combined with fibering map are used in the study of the sub-critical case. While in the critical one, we use the mountain pass theorem combined with Nehari manifold and Brezis-Lieb lemma.
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| DOI | |
| AMS Subject Classification |
35P30, 35J35, 35J60
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| Received |
2022-01-04
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