Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative
In this work, we develop some variational settings related to some singular $ p $-Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative. More precisely, we combine the variational method with the min-max method in order to prove the existence of nontrivial solutions for the given pr...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023835?viewType=HTML |
| _version_ | 1797822527245910016 |
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| author | Hadeel Zaki Mohammed Azumi Wafa Mohammed Ahmed Shammakh Abdeljabbar Ghanmi |
| author_facet | Hadeel Zaki Mohammed Azumi Wafa Mohammed Ahmed Shammakh Abdeljabbar Ghanmi |
| author_sort | Hadeel Zaki Mohammed Azumi |
| collection | DOAJ |
| description | In this work, we develop some variational settings related to some singular $ p $-Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative. More precisely, we combine the variational method with the min-max method in order to prove the existence of nontrivial solutions for the given problem. Our main result generalizes previous ones in the literature. |
| first_indexed | 2024-03-13T10:10:24Z |
| format | Article |
| id | doaj.art-4663518b018043b396e377a2beddd23e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T10:10:24Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4663518b018043b396e377a2beddd23e2023-05-22T01:32:36ZengAIMS PressAIMS Mathematics2473-69882023-05-0187163081631910.3934/math.2023835Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivativeHadeel Zaki Mohammed Azumi0Wafa Mohammed Ahmed Shammakh1Abdeljabbar Ghanmi 21. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21493, Saudi Arabia1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21493, Saudi Arabia2. Faculté des Sciences de Tunis, LR10ES09 Modélisation mathématique, analyse harmonique et théorie du potentiel, Université de Tunis El Manar, Tunis 2092, TunisieIn this work, we develop some variational settings related to some singular $ p $-Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative. More precisely, we combine the variational method with the min-max method in order to prove the existence of nontrivial solutions for the given problem. Our main result generalizes previous ones in the literature.https://www.aimspress.com/article/doi/10.3934/math.2023835?viewType=HTMLvariational methodsmin-max method$ p $-laplacian operator$ \psi $-hilfer operators |
| spellingShingle | Hadeel Zaki Mohammed Azumi Wafa Mohammed Ahmed Shammakh Abdeljabbar Ghanmi Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative AIMS Mathematics variational methods min-max method $ p $-laplacian operator $ \psi $-hilfer operators |
| title | Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative |
| title_full | Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative |
| title_fullStr | Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative |
| title_full_unstemmed | Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative |
| title_short | Min-max method for some classes of Kirchhoff problems involving the $ \psi $-Hilfer fractional derivative |
| title_sort | min max method for some classes of kirchhoff problems involving the psi hilfer fractional derivative |
| topic | variational methods min-max method $ p $-laplacian operator $ \psi $-hilfer operators |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023835?viewType=HTML |
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