A fractional Landesman-Lazer type problem set on R^N
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2016
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| _version_ | 1866912250890027008 |
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| author | Ambrosio, Vincenzo |
| author_facet | Ambrosio, Vincenzo |
| contents | By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem (-Δ)^s u + K u = f(x, u) in R^N u\in H^s (R^N), K>0 where f(x, t): R^N\times R \rightarrow R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1601_06281 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | A fractional Landesman-Lazer type problem set on R^N Ambrosio, Vincenzo Analysis of PDEs By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem (-Δ)^s u + K u = f(x, u) in R^N u\in H^s (R^N), K>0 where f(x, t): R^N\times R \rightarrow R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition. |
| title | A fractional Landesman-Lazer type problem set on R^N |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1601.06281 |