Special Session 54: Trends in Nonlinear Analysis

Travelling waves for Maxwell`s equations in nonlinear symmetric media
Jacopo Schino
University of Warsaw
Poland
Co-Author(s):    Jaros{\l}aw Mederski
Abstract:
We consider a semilinear curl-curl problem arising from Maxwell`s equations in a cylindrically symmetric medium. Exploiting a variant of the fountain theorem, we obtain an unbounded sequence of travelling-wave solutions that consist of transverse magnetic field modes, which makes them different from those obtained in the seminal work by McLeod, Stuart, and Troy.