{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:05:36Z","timestamp":1760144736002,"version":"build-2065373602"},"reference-count":39,"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":[{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China (NSFC)","doi-asserted-by":"publisher","award":["11901500"],"award-info":[{"award-number":["11901500"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Nanhu Scholars Program for Young Scholars of XYNU","award":["11901500"],"award-info":[{"award-number":["11901500"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper is devoted to studying a type of elliptic equation that contains a varying nonlocal term. We provide a detailed analysis of the existence, non-existence, and blow-up behavior of L2-norm solutions for the related equation when the potential function V(x) fulfills an appropriate choice.<\/jats:p>","DOI":"10.3390\/axioms13050336","type":"journal-article","created":{"date-parts":[[2024,5,20]],"date-time":"2024-05-20T08:20:31Z","timestamp":1716193231000},"page":"336","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Blow-Up Analysis of L2-Norm Solutions for an Elliptic Equation with a Varying Nonlocal Term"],"prefix":"10.3390","volume":"13","author":[{"given":"Xincai","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunxia","family":"He","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, 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":"85","DOI":"10.1016\/j.camwa.2005.01.008","article-title":"Positive solutions for a quasilinear elliptic equation of Kirchhoff type","volume":"49","author":"Alves","year":"2005","journal-title":"Comput. 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