Note on the multiplicity of solutions for nonlinear scalar field equations with a critical inverse-square potential
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908779815108608 |
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| author | Bieganowski, Bartosz Strzelecki, Daniel |
| author_facet | Bieganowski, Bartosz Strzelecki, Daniel |
| contents | We are interested in the multiplicity of solutions to the following scalar field equation $$ -Δu - \frac{(N-2)^2}{4|x|^2} u = g(u), \quad \mbox{in } \mathbb{R}^N \setminus \{0\}. $$ We establish the existence of infinitely many radial and non-radial solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Note on the multiplicity of solutions for nonlinear scalar field equations with a critical inverse-square potential Bieganowski, Bartosz Strzelecki, Daniel Analysis of PDEs 35Q99, 35J10, 35J20, 58E99 We are interested in the multiplicity of solutions to the following scalar field equation $$ -Δu - \frac{(N-2)^2}{4|x|^2} u = g(u), \quad \mbox{in } \mathbb{R}^N \setminus \{0\}. $$ We establish the existence of infinitely many radial and non-radial solutions. |
| title | Note on the multiplicity of solutions for nonlinear scalar field equations with a critical inverse-square potential |
| topic | Analysis of PDEs 35Q99, 35J10, 35J20, 58E99 |
| url | https://arxiv.org/abs/2601.15003 |