Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity
In this paper, we investigate the existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity. Using the mountain pass theorem, we get the existence of a positive solution.
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231417?viewType=HTML |
| _version_ | 1797652599282860032 |
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| author | Xiaojie Guo Zhiqing Han |
| author_facet | Xiaojie Guo Zhiqing Han |
| author_sort | Xiaojie Guo |
| collection | DOAJ |
| description | In this paper, we investigate the existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity. Using the mountain pass theorem, we get the existence of a positive solution. |
| first_indexed | 2024-03-11T16:32:20Z |
| format | Article |
| id | doaj.art-8549f1567ad149acb63c6bf0c258fc93 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T16:32:20Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8549f1567ad149acb63c6bf0c258fc932023-10-24T01:46:09ZengAIMS PressAIMS Mathematics2473-69882023-10-01811276842771110.3934/math.20231417Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinityXiaojie Guo0Zhiqing Han 1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaIn this paper, we investigate the existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity. Using the mountain pass theorem, we get the existence of a positive solution.https://www.aimspress.com/article/doi/10.3934/math.20231417?viewType=HTMLquasilinear schrödinger equationconcave-convex nonlinearitiesvanishing potentialspositive solutionsmountain pass theorem |
| spellingShingle | Xiaojie Guo Zhiqing Han Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity AIMS Mathematics quasilinear schrödinger equation concave-convex nonlinearities vanishing potentials positive solutions mountain pass theorem |
| title | Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity |
| title_full | Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity |
| title_fullStr | Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity |
| title_full_unstemmed | Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity |
| title_short | Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity |
| title_sort | existence of solutions to a generalized quasilinear schrodinger equation with concave convex nonlinearities and potentials vanishing at infinity |
| topic | quasilinear schrödinger equation concave-convex nonlinearities vanishing potentials positive solutions mountain pass theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231417?viewType=HTML |
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