Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913861610766336 |
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| author | Cosentino, Paolo Malizia, Francesco |
| author_facet | Cosentino, Paolo Malizia, Francesco |
| contents | We prove that spike sequences related to a nonlinear problem of Grad-Shafranov type are always simple and always converge toward interior points of the domain. This sharpens the blow-up analysis carried out by Bartolucci-Jevnikar-Wu [Calc. Var. 2025] and provides a converse to the existence result for spike sequences obtained by Wei [Proc. Edinb. Math. Soc. 2001]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21402 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics Cosentino, Paolo Malizia, Francesco Analysis of PDEs 35J61, 35B44, 82D10 We prove that spike sequences related to a nonlinear problem of Grad-Shafranov type are always simple and always converge toward interior points of the domain. This sharpens the blow-up analysis carried out by Bartolucci-Jevnikar-Wu [Calc. Var. 2025] and provides a converse to the existence result for spike sequences obtained by Wei [Proc. Edinb. Math. Soc. 2001]. |
| title | Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics |
| topic | Analysis of PDEs 35J61, 35B44, 82D10 |
| url | https://arxiv.org/abs/2505.21402 |