Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity
In this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-11-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0169 |
| _version_ | 1811320183303700480 |
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| author | Khiddi Mustapha Essafi Lakbir |
| author_facet | Khiddi Mustapha Essafi Lakbir |
| author_sort | Khiddi Mustapha |
| collection | DOAJ |
| description | In this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem. |
| first_indexed | 2024-04-13T12:54:41Z |
| format | Article |
| id | doaj.art-438c8cd083ce4bd3a95a1f8b3bf89370 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-13T12:54:41Z |
| publishDate | 2022-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-438c8cd083ce4bd3a95a1f8b3bf893702022-12-22T02:46:05ZengDe GruyterDemonstratio Mathematica2391-46612022-11-0155183184210.1515/dema-2022-0169Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinityKhiddi Mustapha0Essafi Lakbir1Département de Mathématique et Informatique, Laboratoire de Modélisation et Combinatoire, Université Cadi Ayyad, B.P. 4162 Safi, MoroccoDépartement de Mathématique et Informatique, Laboratoire de Modélisation et Combinatoire, Université Cadi Ayyad, B.P. 4162 Safi, MoroccoIn this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem.https://doi.org/10.1515/dema-2022-0169quasilinear schrödingerfountain theoremcerami condition35j2035j6035q55 |
| spellingShingle | Khiddi Mustapha Essafi Lakbir Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity Demonstratio Mathematica quasilinear schrödinger fountain theorem cerami condition 35j20 35j60 35q55 |
| title | Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity |
| title_full | Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity |
| title_fullStr | Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity |
| title_full_unstemmed | Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity |
| title_short | Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity |
| title_sort | infinitely many solutions for quasilinear schrodinger equations with sign changing nonlinearity without the aid of 4 superlinear at infinity |
| topic | quasilinear schrödinger fountain theorem cerami condition 35j20 35j60 35q55 |
| url | https://doi.org/10.1515/dema-2022-0169 |
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