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<p>In this article, we use approximation techniques and variational methods to study a class of nonlocal equations with variable exponents and mixed criticality. We prove the existence of the ground state nontrivial solutions with the least energy. Our results are applied to a specific Schrödinger-Poisson type system.</p>

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Ground state solutions of nonlocal equations with variable exponents and mixed criticality

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月22日

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  • Yuhang Long,
  • Xingwen Chen,
  • Qiongfen Zhang

摘要

In this article, we use approximation techniques and variational methods to study a class of nonlocal equations with variable exponents and mixed criticality. We prove the existence of the ground state nontrivial solutions with the least energy. Our results are applied to a specific Schrödinger-Poisson type system.