Dual variational methods for time-harmonic nonlinear Maxwell's equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912357619335168 |
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| author | Mandel, Rainer |
| author_facet | Mandel, Rainer |
| contents | We prove the existence of infinitely many nontrivial solutions for time-harmonic nonlinear Maxwell's equations on bounded domains and on $\mathbb{R}^3$ using dual variational methods. In the dual setting we apply a new version of the Symmetric Mountain Pass Theorem that does not require the Palais-Smale condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual variational methods for time-harmonic nonlinear Maxwell's equations Mandel, Rainer Analysis of PDEs We prove the existence of infinitely many nontrivial solutions for time-harmonic nonlinear Maxwell's equations on bounded domains and on $\mathbb{R}^3$ using dual variational methods. In the dual setting we apply a new version of the Symmetric Mountain Pass Theorem that does not require the Palais-Smale condition. |
| title | Dual variational methods for time-harmonic nonlinear Maxwell's equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.00992 |