Critical quasilinear Schroedinger equations with electromagnetic fields
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909469136388096 |
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| author | Baldelli, Laura Filippucci, Roberta Krejcirik, David |
| author_facet | Baldelli, Laura Filippucci, Roberta Krejcirik, David |
| contents | The p-Laplace operator in the entire N-dimensional Euclidean space, subject to external electromagnetic potentials, is investigated. In the general case 1<p<N, the existence of at least one solution of mountain pass type to a weighted critical equation is proved. Our technique relies on variational methods and faces a twofold difficulty: double lack of compactness, which requires concentration compactness arguments; and a complex quasilinear framework, which entails appropriate inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical quasilinear Schroedinger equations with electromagnetic fields Baldelli, Laura Filippucci, Roberta Krejcirik, David Analysis of PDEs Mathematical Physics The p-Laplace operator in the entire N-dimensional Euclidean space, subject to external electromagnetic potentials, is investigated. In the general case 1<p<N, the existence of at least one solution of mountain pass type to a weighted critical equation is proved. Our technique relies on variational methods and faces a twofold difficulty: double lack of compactness, which requires concentration compactness arguments; and a complex quasilinear framework, which entails appropriate inequalities. |
| title | Critical quasilinear Schroedinger equations with electromagnetic fields |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2501.17025 |