{
  "abstract": "In this paper, we study the following magnetic nonlinear Schrödinger equation \\[ \\left(\\frac{\\varepsilon}{i}\\nabla-A(x)\\right)^{2}u+V(x)u=f(|u|^{2})u\\,\\ \\text{in}\\,\\ \\mathbb{R}^{2}, \\] where $\\varepsilon>0$ is a parameter, $A\\in C(\\mathbb{R}^{2}, \\mathbb{R}^{2})$ is a magnetic potential, $V\\in C(\\mathbb{R}^{2}, \\mathbb{R})$ is a multi-well potential, and $f\\in C^1(\\mathbb{R}, \\mathbb{R})$ exhibits exponential critical growth. By variational methods and a penalization technique, we prove the existence and multiplicity of nontrivial solutions for sufficiently small $\\varepsilon>0$. If, in addition, $A\\in C^1(\\mathbb{R}^2,\\mathbb{R}^2)$, we show that these solutions have multiple peaks and we establish their concentration behavior and exponential decay.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17250",
  "author_total": 3,
  "authors": [
    {
      "name": "Pietro d'Avenia"
    },
    {
      "name": "Chao Ji"
    },
    {
      "name": "Qingyue Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2brznmyzen0gk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17250",
  "fulltext_url": null,
  "id": "2brznmyzen0gk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17250",
  "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": "W7221768700",
  "pdf_url": "https://arxiv.org/pdf/2610.17250",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2brznmyzen0gk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17250",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17250"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Multi-peak solutions for a magnetic nonlinear Schrödinger equation with exponential critical growth in $\\mathbb{R}^{2}$",
  "title_text": "Multi-peak solutions for a magnetic nonlinear Schrödinger equation with exponential critical growth in ℝ^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/2brznmyzen0gk",
  "venue": "arXiv",
  "versions": []
}