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<p>This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, which generalizes and improves some recent results in the literature.</p>

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Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月17日

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  • Jingai Du,
  • Pengfei He,
  • Hongmin Suo

摘要

This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent and obtain a ground state solution, which generalizes and improves some recent results in the literature.