Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities
This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2020-04-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500071 |
| _version_ | 1818243897965412352 |
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| author | Hamed Alsulami Mokhtar Kirane Shabab Alhodily Tareq Saeed Nemat Nyamoradi |
| author_facet | Hamed Alsulami Mokhtar Kirane Shabab Alhodily Tareq Saeed Nemat Nyamoradi |
| author_sort | Hamed Alsulami |
| collection | DOAJ |
| description | This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold. |
| first_indexed | 2024-12-12T14:08:26Z |
| format | Article |
| id | doaj.art-7dfbb861e0384ca7ac244b829a3506f1 |
| institution | Directory Open Access Journal |
| issn | 1664-3607 1664-3615 |
| language | English |
| last_indexed | 2024-12-12T14:08:26Z |
| publishDate | 2020-04-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Bulletin of Mathematical Sciences |
| spelling | doaj.art-7dfbb861e0384ca7ac244b829a3506f12022-12-22T00:22:10ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152020-04-011012050007-12050007-2010.1142/S166436072050007110.1142/S1664360720500071Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearitiesHamed Alsulami0Mokhtar Kirane1Shabab Alhodily2Tareq Saeed3Nemat Nyamoradi4NAAM Research Group, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaNAAM Research Group, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaNAAM Research Group, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaNAAM Research Group, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, IranThis paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500071nehari manifoldvariational methodfractional p-laplacian operators |
| spellingShingle | Hamed Alsulami Mokhtar Kirane Shabab Alhodily Tareq Saeed Nemat Nyamoradi Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities Bulletin of Mathematical Sciences nehari manifold variational method fractional p-laplacian operators |
| title | Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities |
| title_full | Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities |
| title_fullStr | Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities |
| title_full_unstemmed | Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities |
| title_short | Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities |
| title_sort | existence and multiplicity of solutions to fractional p laplacian systems with concave convex nonlinearities |
| topic | nehari manifold variational method fractional p-laplacian operators |
| url | http://www.worldscientific.com/doi/pdf/10.1142/S1664360720500071 |
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