Abstract: |
The aim of this talk is to present some
existence results of radially symmetric oscillating solutions for a
class of nonlinear autonomous Helmholtz equations and in particular to analyse their exact asymptotic behavior at infinity.
Some generalizations to non-autonomous radial equations as well as existence results for non-radial solutions will be discussed.
These results are linked with the existence of standing waves solutions of nonlinear wave equations with large frequencies. |
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