Multiple nodal solutions of planar Stein-Weiss equations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866912223299895296 |
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| author | Barboza, Eudes M. Böer, Eduardo De S. Miyagaki, Olímpio H. Santana, Claudia R. |
| author_facet | Barboza, Eudes M. Böer, Eduardo De S. Miyagaki, Olímpio H. Santana, Claudia R. |
| contents | In this paper, our goal is to investigate the existence of multiple nodal solutions to a class of planar Stein-Weiss problems involving a nonlinearity $f$ with subcritical or critical growth in the sense of Trudinger-Moser. To achieve this, we combine a gluing approach with the Nehari manifold argument. We demonstrate that for any positive integer $k\in \mathbb{N}$, the problem studied has at least one radially symmetrical ground state solution that changes sign exactly $k$-times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiple nodal solutions of planar Stein-Weiss equations Barboza, Eudes M. Böer, Eduardo De S. Miyagaki, Olímpio H. Santana, Claudia R. Analysis of PDEs In this paper, our goal is to investigate the existence of multiple nodal solutions to a class of planar Stein-Weiss problems involving a nonlinearity $f$ with subcritical or critical growth in the sense of Trudinger-Moser. To achieve this, we combine a gluing approach with the Nehari manifold argument. We demonstrate that for any positive integer $k\in \mathbb{N}$, the problem studied has at least one radially symmetrical ground state solution that changes sign exactly $k$-times. |
| title | Multiple nodal solutions of planar Stein-Weiss equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.04532 |