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Dual variational methods for time-harmonic nonlinear Maxwell's equations
Published 2 May 2025 in math.AP | (2505.00992v1)
Abstract: We prove the existence of infinitely many nontrivial solutions for time-harmonic nonlinear Maxwell's equations on bounded domains and on $\mathbb{R}3$ 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.
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