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<p>We prove existence of a normalized solution for a system describing the interaction between an electron, its own electromagnetic field and a boson. The solution is obtained as a critical point of a functional constrained on the sphere in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11587_2025_942_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>.</p>

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Existence of a normalized solution for Maxwell–Klein Gordon–Dirac system

  • 期刊论文

  • 发表日期：

    2025年2月17日

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  • Xu Dong

摘要

We prove existence of a normalized solution for a system describing the interaction between an electron, its own electromagnetic field and a boson. The solution is obtained as a critical point of a functional constrained on the sphere in \(L^{2}\) L 2 .