{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:06:45Z","timestamp":1760144805331,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,20]],"date-time":"2024-05-20T00:00:00Z","timestamp":1716163200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Science Foundation of Fujian Province","award":["2023J01163","2019J01089","ZCKC23012"],"award-info":[{"award-number":["2023J01163","2019J01089","ZCKC23012"]}]},{"name":"New Century Excellent Talents Support Program of Higher Education in Fujian Province (2017), Science and Education Innovation Group Cultivation Project of Fuzhou University Zhicheng College","award":["2023J01163","2019J01089","ZCKC23012"],"award-info":[{"award-number":["2023J01163","2019J01089","ZCKC23012"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of \u03b1, i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together with the mountain pass theorem and cut-off technique. The multiplicity of solutions are further considered with the help of the symmetric mountain pass theorem. Moreover, the nonexistence and asymptotic behavior of positive solutions are also investigated.<\/jats:p>","DOI":"10.3390\/axioms13050337","type":"journal-article","created":{"date-parts":[[2024,5,20]],"date-time":"2024-05-20T11:06:41Z","timestamp":1716203201000},"page":"337","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1049-4791","authenticated-orcid":false,"given":"Shengbin","family":"Yu","sequence":"first","affiliation":[{"name":"College of Information Engineering, Fujian Business University, Fuzhou 350102, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingmei","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Fujian Business University, Fuzhou 350102, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4925-336X","authenticated-orcid":false,"given":"Jiangbin","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Data Science and Statistics of Zhicheng College, Fuzhou University, Fuzhou 350002, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.bulsci.2015.10.001","article-title":"Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems","volume":"140","author":"Fiscella","year":"2016","journal-title":"Bull. 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