Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behaviour 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 KleinâGordon or SchrÃ¶dinger equations with large frequencies.
|Titolo:||Oscillating solutions for nonlinear Helmholtz equations|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||1.1 Articolo in rivista|