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This research explores a weakly coupled nonlinear time-harmonic Maxwell system in three-dimensional space.

June 15, 2026Open Access

On a weakly coupled time-harmonic Maxwell system in R3R^3

Key Points

This research explores a weakly coupled nonlinear time-harmonic Maxwell system in three-dimensional space.
Formulated a nonlinear system of differential equations
Analyzed the existence and uniqueness of solutions
Applied mathematical techniques in electromagnetic theory
Established conditions for the existence of solutions
Identified stability traits of the system
Demonstrated implications for electromagnetic applications

Abstract

Abstract In this paper, we consider the following nonlinear time-harmonic Maxwell system ∇ × ∇ × E 1 − V 1 ( x ) E 1 = μ 1 ( x ) | E 1 | p − 2 E 1 + 2 λ β K ( x ) | E 2 | α | E 1 | β − 2 E 1 , in R 3 , ∇ × ∇ × E 2 − V 2 ( x )

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Wen et al. (Thu,) studied this question.

synapsesocial.com/papers/6a2f97c8a1cfeec490828d33 https://doi.org/https://doi.org/10.1515/anona-2025-0166

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