{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:23:36Z","timestamp":1760145816977,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,8,23]],"date-time":"2024-08-23T00:00:00Z","timestamp":1724371200000},"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 concerned with the following L2-subcritical Kirchhoff-type equation \u2212a+b\u222bR2|\u2207u|2dxs\u0394u+V(x)u=\u03bcu+\u03b2|u|2u,x\u2208R2, with \u222bR2|u|2dx=1. We give a detailed analysis of the limit property of the L2-normalized solution when exponent s tends toward 0 from the right (i.e., s\u21980). Our research extends previous works, in which the authors have displayed the limit behavior of L2-normalized solutions when s=1 as a\u21980 or b\u21980.<\/jats:p>","DOI":"10.3390\/axioms13090571","type":"journal-article","created":{"date-parts":[[2024,8,23]],"date-time":"2024-08-23T12:58:07Z","timestamp":1724417887000},"page":"571","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Limit Property of an L2-Normalized Solution for an L2-Subcritical Kirchhoff-Type Equation with a Variable Exponent"],"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":"Hanxiao","family":"Wu","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":[[2024,8,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1126\/science.269.5221.198","article-title":"Observation of Bose-Einstein condensation in a dilute atomic vapor","volume":"269","author":"Anderson","year":"1995","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1103\/RevModPhys.71.463","article-title":"Theory of Bose-Einstein condensation in trapped gases","volume":"71","author":"Dalfovo","year":"1999","journal-title":"Rev. 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