Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations
This paper focuses on a class of supercritical, quasi-linear Schrödinger equations. Based on the methods of invariant sets, some results about the existence and multiplicity of sign-changing solutions for supercritical equations are obtained.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://aimspress.com/article/doi/10.3934/era.2023032?viewType=HTML |
| _version_ | 1811168733314416640 |
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| author | Xian Zhang Chen Huang |
| author_facet | Xian Zhang Chen Huang |
| author_sort | Xian Zhang |
| collection | DOAJ |
| description | This paper focuses on a class of supercritical, quasi-linear Schrödinger equations. Based on the methods of invariant sets, some results about the existence and multiplicity of sign-changing solutions for supercritical equations are obtained. |
| first_indexed | 2024-04-10T16:30:34Z |
| format | Article |
| id | doaj.art-d23852d9f41c442d93c024afbc6638d6 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-10T16:30:34Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-d23852d9f41c442d93c024afbc6638d62023-02-09T00:55:20ZengAIMS PressElectronic Research Archive2688-15942023-01-0131265667410.3934/era.2023032Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equationsXian Zhang 0Chen Huang 11. Business School, University of Shanghai for Science and Technology, Shanghai 200093, PR China2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, PR ChinaThis paper focuses on a class of supercritical, quasi-linear Schrödinger equations. Based on the methods of invariant sets, some results about the existence and multiplicity of sign-changing solutions for supercritical equations are obtained.https://aimspress.com/article/doi/10.3934/era.2023032?viewType=HTMLquasi-linear schrödinger equationssupercritical growthvariational methodssign-changing solutionsinvariant sets |
| spellingShingle | Xian Zhang Chen Huang Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations Electronic Research Archive quasi-linear schrödinger equations supercritical growth variational methods sign-changing solutions invariant sets |
| title | Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations |
| title_full | Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations |
| title_fullStr | Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations |
| title_full_unstemmed | Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations |
| title_short | Existence and multiplicity of sign-changing solutions for supercritical quasi-linear Schrödinger equations |
| title_sort | existence and multiplicity of sign changing solutions for supercritical quasi linear schrodinger equations |
| topic | quasi-linear schrödinger equations supercritical growth variational methods sign-changing solutions invariant sets |
| url | https://aimspress.com/article/doi/10.3934/era.2023032?viewType=HTML |
| work_keys_str_mv | AT xianzhang existenceandmultiplicityofsignchangingsolutionsforsupercriticalquasilinearschrodingerequations AT chenhuang existenceandmultiplicityofsignchangingsolutionsforsupercriticalquasilinearschrodingerequations |