Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866909157866602496 |
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| author | Gu, Long-Jiang Zhou, Huan-Song |
| author_facet | Gu, Long-Jiang Zhou, Huan-Song |
| contents | We propose a new variational approach to finding multiple critical points for strongly indefinite problems without assuming the weak upper semicontinuity on the variational functionals. By this approach, we obtain the existence of infinitely many geometrically distinct solutions for a stationary periodic Schrödinger equation, in which the linear part is strongly indefinite and the nonlinear term is allowed to change sign in general ways. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_03012 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term Gu, Long-Jiang Zhou, Huan-Song Functional Analysis Analysis of PDEs 35J20, 35J61, 58E05 We propose a new variational approach to finding multiple critical points for strongly indefinite problems without assuming the weak upper semicontinuity on the variational functionals. By this approach, we obtain the existence of infinitely many geometrically distinct solutions for a stationary periodic Schrödinger equation, in which the linear part is strongly indefinite and the nonlinear term is allowed to change sign in general ways. |
| title | Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term |
| topic | Functional Analysis Analysis of PDEs 35J20, 35J61, 58E05 |
| url | https://arxiv.org/abs/1903.03012 |