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Oscillating solutions for nonlinear nonlinear Helmholtz equations

Mandel, Rainder; Montefusco, Eugenio; Pellacci, Benedetta

Abstract:
Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behavior at infinity is established. Some generalizations to nonautonomous radial equations as well as existence results for nonradial solutions are found. Our theorems prove the existence of standing waves solutions of nonlinear Klein-Gordon or Schrödinger equations with large frequencies.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000065865
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-658652
KITopen ID: 1000065865
Verlag KIT, Karlsruhe
Umfang 23 S.
Serie CRC 1173 ; 2017/2
Schlagworte Nonlinear Helmholtz equations, standing waves, oscillating solutions
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