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<p>We consider a Klein–Gordon–Maxwell system in ℝ<sup>3</sup> with local sublinear nonlinearity term. Under certain conditions, we prove the existence of nontrivial solutions. Furthermore, in case the nonlinearity term is odd, we prove that the system has an infinite sequence of nontrivial solutions converging to zero. The proofs are based on variational methods and Moser iteration.</p>

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Existence and multiplicity of solutions for Klein–Gordon–Maxwell system with a local sublinear term

  • 期刊论文

  • 发表日期：

    2025年4月17日

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  • Yu Duan,
  • Xin Sun,
  • Jiu Liu

摘要

We consider a Klein–Gordon–Maxwell system in ℝ3 with local sublinear nonlinearity term. Under certain conditions, we prove the existence of nontrivial solutions. Furthermore, in case the nonlinearity term is odd, we prove that the system has an infinite sequence of nontrivial solutions converging to zero. The proofs are based on variational methods and Moser iteration.