Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition
We study a quasilinear Schrödinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter λ is large enough. We also establish the existence of infinitely many high energy solutions by u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020248/fulltext.html |
| _version_ | 1819140117842886656 |
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| author | Yin Deng Gao Jia Fanglan Li |
| author_facet | Yin Deng Gao Jia Fanglan Li |
| author_sort | Yin Deng |
| collection | DOAJ |
| description | We study a quasilinear Schrödinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter λ is large enough. We also establish the existence of infinitely many high energy solutions by using Fountain Theorem when λ > 1. |
| first_indexed | 2024-12-22T11:33:28Z |
| format | Article |
| id | doaj.art-d5d514846d9d4360ac474905bae4d9ea |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T11:33:28Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d5d514846d9d4360ac474905bae4d9ea2022-12-21T18:27:31ZengAIMS PressAIMS Mathematics2473-69882020-05-01543825383910.3934/math.2020248Multiple solutions to a quasilinear Schrödinger equation with Robin boundary conditionYin Deng0Gao Jia1Fanglan Li21 Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China2 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China3 Shanghai University of Medicine and Health Sciences, Shanghai, 201318, ChinaWe study a quasilinear Schrödinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter λ is large enough. We also establish the existence of infinitely many high energy solutions by using Fountain Theorem when λ > 1.https://www.aimspress.com/article/10.3934/math.2020248/fulltext.htmlquasilinear schrödinger equationrobin boundarymultiple solutionsfountain theorem |
| spellingShingle | Yin Deng Gao Jia Fanglan Li Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition AIMS Mathematics quasilinear schrödinger equation robin boundary multiple solutions fountain theorem |
| title | Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition |
| title_full | Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition |
| title_fullStr | Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition |
| title_full_unstemmed | Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition |
| title_short | Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition |
| title_sort | multiple solutions to a quasilinear schrodinger equation with robin boundary condition |
| topic | quasilinear schrödinger equation robin boundary multiple solutions fountain theorem |
| url | https://www.aimspress.com/article/10.3934/math.2020248/fulltext.html |
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