Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method
We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation and to prove the existence of at least two nontrivial solutions. Our approach is mainly based on the variational method and critical point theory. One example is included to illustrate the result....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63267 |
| _version_ | 1827767784106360832 |
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| author | Omar Hammouti Abdelrachid El Amrouss |
| author_facet | Omar Hammouti Abdelrachid El Amrouss |
| author_sort | Omar Hammouti |
| collection | DOAJ |
| description |
We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation and to prove the existence of at least two nontrivial solutions. Our approach is mainly based on the variational method and critical point theory. One example is included to illustrate the result.
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| first_indexed | 2024-03-11T12:02:46Z |
| format | Article |
| id | doaj.art-885850bb2b3f45fbb2e6b0b826fa9ae9 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T12:02:46Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-885850bb2b3f45fbb2e6b0b826fa9ae92023-11-07T20:10:33ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.63267Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational methodOmar Hammouti0Abdelrachid El Amrouss1Mohammed First UniversityMohammed First University We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation and to prove the existence of at least two nontrivial solutions. Our approach is mainly based on the variational method and critical point theory. One example is included to illustrate the result. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63267 |
| spellingShingle | Omar Hammouti Abdelrachid El Amrouss Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method Boletim da Sociedade Paranaense de Matemática |
| title | Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method |
| title_full | Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method |
| title_fullStr | Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method |
| title_full_unstemmed | Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method |
| title_short | Existence of solutions to a discrete problems for fourth order nonlinear p-Laplacian via variational method |
| title_sort | existence of solutions to a discrete problems for fourth order nonlinear p laplacian via variational method |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63267 |
| work_keys_str_mv | AT omarhammouti existenceofsolutionstoadiscreteproblemsforfourthordernonlinearplaplacianviavariationalmethod AT abdelrachidelamrouss existenceofsolutionstoadiscreteproblemsforfourthordernonlinearplaplacianviavariationalmethod |