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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.01304 |
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| _version_ | 1866916460194955264 |
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| author | Kokubu, Kaito |
| author_facet | Kokubu, Kaito |
| contents | We study semilinear elliptic equations with the fractional Laplacian in $\mathbb{R}$. The equations with single power nonlinearities have been observed by Weinstein(1987), Frank--Lenzmann(2013) and so on. We focus on the equations with double power nonlinearities and consider the existence of ground states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01304 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On solitary wave solutions to dispersive equations with double power nonlinearities Kokubu, Kaito Analysis of PDEs 35R11, 35J61 We study semilinear elliptic equations with the fractional Laplacian in $\mathbb{R}$. The equations with single power nonlinearities have been observed by Weinstein(1987), Frank--Lenzmann(2013) and so on. We focus on the equations with double power nonlinearities and consider the existence of ground states. |
| title | On solitary wave solutions to dispersive equations with double power nonlinearities |
| topic | Analysis of PDEs 35R11, 35J61 |
| url | https://arxiv.org/abs/2309.01304 |