Existence of Positive Solution for a System of Quasilinear Schrodinger
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917946804142080 |
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| author | Baig, Ayesha Zhouxin, Li |
| author_facet | Baig, Ayesha Zhouxin, Li |
| contents | We investigate the existence of standing wave solutions for quasilinear Schrodinger systems. To address the challenges posed by non differentiability, we adopt the dual approach introduced by Colin and Jeanjean. The existence of solutions is established using Del Pino and Felmer's penalization technique, with refinements inspired by Alves' arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15947 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of Positive Solution for a System of Quasilinear Schrodinger Baig, Ayesha Zhouxin, Li Analysis of PDEs Functional Analysis We investigate the existence of standing wave solutions for quasilinear Schrodinger systems. To address the challenges posed by non differentiability, we adopt the dual approach introduced by Colin and Jeanjean. The existence of solutions is established using Del Pino and Felmer's penalization technique, with refinements inspired by Alves' arguments. |
| title | Existence of Positive Solution for a System of Quasilinear Schrodinger |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2411.15947 |