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<p>We address the existence of periodic ground state solutions for a wide class of nonlinear Dirac–Maxwell systems. Utilizing refined variational methods and sharp analytical estimates, we establish both the existence and regularity of solutions in a periodic setting. This work extends and markedly improves upon recent advances in the field. To underscore the significance of our results, we provide concrete examples that illustrate the theoretical framework and its implications.</p>

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Existence and Regularity of Periodic Ground State Solutions for Nonlinear Dirac–Maxwell Systems

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Abderrazek Benhassine

摘要

We address the existence of periodic ground state solutions for a wide class of nonlinear Dirac–Maxwell systems. Utilizing refined variational methods and sharp analytical estimates, we establish both the existence and regularity of solutions in a periodic setting. This work extends and markedly improves upon recent advances in the field. To underscore the significance of our results, we provide concrete examples that illustrate the theoretical framework and its implications.