On the maximum principle for the discrete p-laplacian with sign-changing weight
This work deals with the maximum principle for the discrete Neumann or Dirichlet problem -Δφp(Δu(k - 1)) = λm(k)φp(u(k))+ h(k) in [1, n]. We study the existence and nonexistence of positive solution and its uniqueness.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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/51806 |
| _version_ | 1797633581267288064 |
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| author | Hamza Cehabi Omar Chakrone Mohammed Chehabi |
| author_facet | Hamza Cehabi Omar Chakrone Mohammed Chehabi |
| author_sort | Hamza Cehabi |
| collection | DOAJ |
| description |
This work deals with the maximum principle for the discrete Neumann or Dirichlet problem
-Δφp(Δu(k - 1)) = λm(k)φp(u(k))+ h(k) in [1, n].
We study the existence and nonexistence of positive solution and its uniqueness.
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| first_indexed | 2024-03-11T11:55:54Z |
| format | Article |
| id | doaj.art-7a4eb6db27e54f04a5367a211f1af2d6 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:54Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-7a4eb6db27e54f04a5367a211f1af2d62023-11-08T19:13:54ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.51806On the maximum principle for the discrete p-laplacian with sign-changing weightHamza Cehabi0Omar Chakrone1Mohammed Chehabi2University Mohammed 1st University Mohammed 1stUniversity Mohammed 1st This work deals with the maximum principle for the discrete Neumann or Dirichlet problem -Δφp(Δu(k - 1)) = λm(k)φp(u(k))+ h(k) in [1, n]. We study the existence and nonexistence of positive solution and its uniqueness. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51806 |
| spellingShingle | Hamza Cehabi Omar Chakrone Mohammed Chehabi On the maximum principle for the discrete p-laplacian with sign-changing weight Boletim da Sociedade Paranaense de Matemática |
| title | On the maximum principle for the discrete p-laplacian with sign-changing weight |
| title_full | On the maximum principle for the discrete p-laplacian with sign-changing weight |
| title_fullStr | On the maximum principle for the discrete p-laplacian with sign-changing weight |
| title_full_unstemmed | On the maximum principle for the discrete p-laplacian with sign-changing weight |
| title_short | On the maximum principle for the discrete p-laplacian with sign-changing weight |
| title_sort | on the maximum principle for the discrete p laplacian with sign changing weight |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51806 |
| work_keys_str_mv | AT hamzacehabi onthemaximumprincipleforthediscreteplaplacianwithsignchangingweight AT omarchakrone onthemaximumprincipleforthediscreteplaplacianwithsignchangingweight AT mohammedchehabi onthemaximumprincipleforthediscreteplaplacianwithsignchangingweight |