{
  "abstract": "In this paper, we discuss the existence of normalized solutions for a class of the nonlinear elliptic systems with mixed-power nonlinearities on bounded domains. When the lower-order nonlinearity is L2-subcritical and the leading term is L2-critical, the global solutions can be found by minimum principle. If the lower-order nonlinearity is L2-subcritical or L2-critical and the leading term is L2-supercritical and Sobolev-subcritical, we can find the local minimum solutions by providing some proper conditions about the parameters. Furthermore, if the lower-order nonlinearity is L2-critical and the leading term is Sobolev-critical, we restore the compactness of a minimizing sequence so that the local solution can be achieved.",
  "abstract_shown": true,
  "affiliations": [
    "College of Sciences, Shenyang University, Shenyang 110044, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Liang Zhang",
      "orcid": "0009-0006-2028-8269"
    },
    {
      "affs": [
        0
      ],
      "name": "Juan Liu"
    },
    {
      "affs": [
        0
      ],
      "name": "Jing Shao"
    },
    {
      "affs": [
        0
      ],
      "name": "Qingzhe Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d1ewe3fczdfab.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213905",
  "fulltext_url": null,
  "id": "d1ewe3fczdfab",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3905",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7223985695",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/d1ewe3fczdfab.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14213905",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3905"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Nonlinear Partial Differential Equations",
      "subfield": "general"
    }
  ],
  "title": "Normalized Solutions for a Class of the Nonlinear Elliptic Systems with Mixed-Power Nonlinearities on Bounded Domains",
  "title_text": "Normalized Solutions for a Class of the Nonlinear Elliptic Systems with Mixed-Power Nonlinearities on Bounded Domains",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/d1ewe3fczdfab",
  "venue": "Mathematics",
  "versions": []
}