On a class of quasilinear Schrödinger equations with superlinear terms
In this paper, we consider a class of quasilinear Schrödinger equations arising from a model of a self-trapped electrons in quadratic or hexagonal lattices. By variational methods, we prove that this problem admits a positive solution for any positive parameter.
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| Veröffentlicht in: | Journal of mathematical physics 2024-05, Vol.65 (5) |
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| container_title | Journal of mathematical physics |
| container_volume | 65 |
| creator | Cheng, Yongkuan Shen, Yaotian |
| description | In this paper, we consider a class of quasilinear Schrödinger equations arising from a model of a self-trapped electrons in quadratic or hexagonal lattices. By variational methods, we prove that this problem admits a positive solution for any positive parameter. |
| doi_str_mv | 10.1063/5.0158981 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2024-05, Vol.65 (5) |
| issn | 0022-2488 1089-7658 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | Schrodinger equation Variational methods |
| title | On a class of quasilinear Schrödinger equations with superlinear terms |
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