Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2505.00992 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912357619335168 |
|---|---|
| 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 |