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In this note we present a result of multiplicity of solutions for an elliptic system which involves the interaction between matter and the electromagnetic field of the Bopp-Podolsky theory. Neumann boundary conditions are given on the electrostatic potential on the boundary of the domain and, under suitable conditions, we get existence of infinitely many solutions with diverging energy.

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Schrödinger-Bopp-Podolsky Systems in Bounded Domains: Existence of Normalised Solutions

  • 会议论文

  • 发表日期：

    2026年

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  • Gaetano Siciliano

摘要

In this note we present a result of multiplicity of solutions for an elliptic system which involves the interaction between matter and the electromagnetic field of the Bopp-Podolsky theory. Neumann boundary conditions are given on the electrostatic potential on the boundary of the domain and, under suitable conditions, we get existence of infinitely many solutions with diverging energy.