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<p>We study an elliptic nonlocal problem driven by a source term which is a Radon measure. We prove the existence of a weak solution by a weak convergence method. In the process, we define a new function space which we name the <i>Walker space</i>. The question about the existence of infinitely many nontrivial solutions leads to an interesting conjecture.</p>

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A Nonlocal Elliptic Problem on a Heisenberg Group

  • 期刊论文

  • 发表日期：

    2026年7月7日

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  • Debajyoti Choudhuri,
  • Lamine Mbarki,
  • Olimpio Hiroshi Miyagaki

摘要

We study an elliptic nonlocal problem driven by a source term which is a Radon measure. We prove the existence of a weak solution by a weak convergence method. In the process, we define a new function space which we name the Walker space. The question about the existence of infinitely many nontrivial solutions leads to an interesting conjecture.