On pz–Laplacian System Involving Critical Nonlinearities
In this paper, we deal with the existence of at least two nonnegative nontrivial solutions to a pz–Laplacian system involving critical nonlinearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6685771 |
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| _version_ | 1832553585177526272 |
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| author | Ahmed Aberqi Jaouad Bennouna Omar Benslimane Maria Alessandra Ragusa |
| author_facet | Ahmed Aberqi Jaouad Bennouna Omar Benslimane Maria Alessandra Ragusa |
| author_sort | Ahmed Aberqi |
| collection | DOAJ |
| description | In this paper, we deal with the existence of at least two nonnegative nontrivial solutions to a pz–Laplacian system involving critical nonlinearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method and doing a refined analysis on the associated fiber map and some variational techniques. |
| format | Article |
| id | doaj-art-0bbcd91204b64480a28795830d9400cc |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0bbcd91204b64480a28795830d9400cc2025-02-03T05:53:39ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6685771On pz–Laplacian System Involving Critical NonlinearitiesAhmed Aberqi0Jaouad Bennouna1Omar Benslimane2Maria Alessandra Ragusa3Laboratoy LAMALaboratory LAMALaboratory LAMADipartimento di Matematica e InformaticaIn this paper, we deal with the existence of at least two nonnegative nontrivial solutions to a pz–Laplacian system involving critical nonlinearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method and doing a refined analysis on the associated fiber map and some variational techniques.http://dx.doi.org/10.1155/2022/6685771 |
| spellingShingle | Ahmed Aberqi Jaouad Bennouna Omar Benslimane Maria Alessandra Ragusa On pz–Laplacian System Involving Critical Nonlinearities Journal of Function Spaces |
| title | On pz–Laplacian System Involving Critical Nonlinearities |
| title_full | On pz–Laplacian System Involving Critical Nonlinearities |
| title_fullStr | On pz–Laplacian System Involving Critical Nonlinearities |
| title_full_unstemmed | On pz–Laplacian System Involving Critical Nonlinearities |
| title_short | On pz–Laplacian System Involving Critical Nonlinearities |
| title_sort | on pz laplacian system involving critical nonlinearities |
| url | http://dx.doi.org/10.1155/2022/6685771 |
| work_keys_str_mv | AT ahmedaberqi onpzlaplaciansysteminvolvingcriticalnonlinearities AT jaouadbennouna onpzlaplaciansysteminvolvingcriticalnonlinearities AT omarbenslimane onpzlaplaciansysteminvolvingcriticalnonlinearities AT mariaalessandraragusa onpzlaplaciansysteminvolvingcriticalnonlinearities |