Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations

We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear operator. As a new auxiliary tool a limiting absorpti...

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Bibliographic Details
Main Author: Mandel Rainer
Format: Article
Language:English
Published: De Gruyter 2019-08-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2019-2050