On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5391028 |
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| _version_ | 1832555200537165824 |
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| author | Mohammed El Mokhtar ould El Mokhtar |
| author_facet | Mohammed El Mokhtar ould El Mokhtar |
| author_sort | Mohammed El Mokhtar ould El Mokhtar |
| collection | DOAJ |
| description | In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions. |
| format | Article |
| id | doaj-art-b9fef4d2107a44aba86328cce785d979 |
| 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-b9fef4d2107a44aba86328cce785d9792025-02-03T05:49:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5391028On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev ExponentMohammed El Mokhtar ould El Mokhtar0Qassim University; College of ScienceIn this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.http://dx.doi.org/10.1155/2022/5391028 |
| spellingShingle | Mohammed El Mokhtar ould El Mokhtar On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent Journal of Function Spaces |
| title | On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent |
| title_full | On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent |
| title_fullStr | On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent |
| title_full_unstemmed | On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent |
| title_short | On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent |
| title_sort | on p laplace equations with singular nonlinearities and critical sobolev exponent |
| url | http://dx.doi.org/10.1155/2022/5391028 |
| work_keys_str_mv | AT mohammedelmokhtarouldelmokhtar onplaplaceequationswithsingularnonlinearitiesandcriticalsobolevexponent |