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<p>In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of these solutions. Next, the equivalence between existence of normalized solutions and the existence of normalized ground states is established.</p>

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Normalized solutions to a Choquard equation involving mixed local and nonlocal operators

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • J. Giacomoni,
  • Nidhi Nidhi,
  • K. Sreenadh

摘要

In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of these solutions. Next, the equivalence between existence of normalized solutions and the existence of normalized ground states is established.