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DOI: 10.5445/IR/1000075713

Dual variational methods for a nonlinear Helmholtz system

Mandel, Rainer; Scheider, Dominic

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
Jahr 2017
Sprache Englisch
Identifikator ISSN: 2365-662X
URN: urn:nbn:de:swb:90-757139
KITopen ID: 1000075713
Verlag KIT, Karlsruhe
Umfang 24 S.
Serie CRC 1173 ; 2017/25
Schlagworte nonlinear Helmholtz sytem, dual variational methods
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