Dual variational methods for a nonlinear Helmholtz system
Abstract:
This paper considers a pair of coupled nonlinear Helmholtz equations on R$^{n}$ where $\frac{2(N+1)}{N−1}$ < $p$ < 2$^{*}$. The existence of nontrivial strong solutions in W$^{2,p}$(R$^{n}$) is established using dual variational methods. The focus lies on necessary and sufficient conditions on the parameters deciding whether or not both components of such solutions are nontrivial.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-757139 KITopen-ID: 1000075713 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 24 S. |
| Serie | CRC 1173 ; 2017/25 |
| Schlagwörter | nonlinear Helmholtz sytem, dual variational methods |