{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:30:06Z","timestamp":1760059806344,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,7,12]],"date-time":"2025-07-12T00:00:00Z","timestamp":1752278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["11861078"],"award-info":[{"award-number":["11861078"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper mainly studies the existence of sign-changing solutions for the following px-biharmonic Kirchhoff-type equations: \u2212a+b\u222bRN1p(x)|\u0394u|p(x)dx\u0394p(x)2u+V(x)|u|p(x)\u22122u = Kxf(u),x\u2208RN, where \u0394p(x)2u=\u0394|\u0394u|p(x)\u22122\u0394u is the p(x) biharmonic operator, a,b&gt;0 are constants, N\u22652, V(x),K(x) are positive continuous functions which vanish at infinity, and the nonlinearity f has subcritical growth. Using the Nehari manifold method, deformation lemma, and other techniques of analysis, it is demonstrated that there are precisely two nodal domains in the problem\u2019s least energy sign-changing solution ub. In addition, the convergence property of ub as b\u21920 is also established.<\/jats:p>","DOI":"10.3390\/axioms14070530","type":"journal-article","created":{"date-parts":[[2025,7,14]],"date-time":"2025-07-14T10:55:41Z","timestamp":1752490541000},"page":"530","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Existence of Sign-Changing Solutions for a Class of p(x)-Biharmonic Kirchhoff-Type Equations"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-0515-7453","authenticated-orcid":false,"given":"Rui","family":"Deng","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8703-3603","authenticated-orcid":false,"given":"Qing","family":"Miao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1977","DOI":"10.1016\/j.jde.2012.11.013","article-title":"Existence of solutions for a class of nonlinear Schr\u00f6dinger equations with potential vanishing at infinity","volume":"254","author":"Alves","year":"2013","journal-title":"J. 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