{
  "abstract": "In this paper, we study the existence of normalized solutions to the mixed nonlinear Choquard equation with exponential growth \\begin{equation} \\left\\{ \\mathcal{L}u+λu = Λ(I_α*F(u))f(u) \\text{ in }\\mathbb{R}^{2}; \\;\\; \\int_{\\mathbb{R}^{2}}|u|^{2}\\,dx = a^{2}, \\right. \\end{equation} where $\\mathcal{L}=-Δ+(-Δ)^s$, $0<s<1$, $a>0$, $I_α$ is the Riesz potential of order $α\\in(0,2)$, $Λ>0$, and $λ\\in\\mathbb{R}$ arises as a Lagrange multiplier. The nonlinearity has critical exponential growth in the sense of the Trudinger-Moser inequality. Using variational methods, the associated Pohožaev manifold, and suitable Moser-type estimates, we establish the existence of a normalized solution of mountain-pass type with associated non zero Lagrange multiplier. Under an additional monotonicity assumption on the nonlinearity, we further show that the obtained solution is a normalized ground state. We also establish the regularity properties required for the proof of the corresponding Pohožaev identity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.02141",
  "author_total": 3,
  "authors": [
    {
      "name": "Nidhi Nidhi"
    },
    {
      "name": "L. Sharma"
    },
    {
      "name": "K. Sreenadh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9wmz3wv5ce6wh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.02141",
  "fulltext_url": null,
  "id": "9wmz3wv5ce6wh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.02141",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7163199164",
  "pdf_url": "https://arxiv.org/pdf/2606.02141",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9wmz3wv5ce6wh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2606.02141",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.02141"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Normalized solutions to an exponential growth Choquard equation driven by mixed local-nonlocal operator in $\\mathbb{R}^2$",
  "title_text": "Normalized solutions to an exponential growth Choquard equation driven by mixed local-nonlocal operator in ℝ^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/9wmz3wv5ce6wh",
  "venue": "arXiv",
  "versions": []
}