Ground states for Maxwell’s equations in nonlocal nonlinear media
Abstract:
In this paper we investigate the existence of ground states and dual ground states for Maxwell’s Equations in R3 in nonlocal nonlinear metamaterials. We prove that several nonlocal models admit ground states in contrast to their local analogues.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 10.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000139428 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 14 S. |
| Serie | CRC 1173 Preprint ; 2021/43 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | ground states, Maxwell's equations, nonlocal variational elliptic problems, Nehari manifold |
| Nachgewiesen in | arXiv |
| Relationen in KITopen |