Dual variational methods for time-harmonic nonlinear Maxwell's equations
Analysis of PDEs
2025-05-05 v1
Abstract
We prove the existence of infinitely many nontrivial solutions for time-harmonic nonlinear Maxwell's equations on bounded domains and on using dual variational methods. In the dual setting we apply a new version of the Symmetric Mountain Pass Theorem that does not require the Palais-Smale condition.
Cite
@article{arxiv.2505.00992,
title = {Dual variational methods for time-harmonic nonlinear Maxwell's equations},
author = {Rainer Mandel},
journal= {arXiv preprint arXiv:2505.00992},
year = {2025}
}