{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:13:20Z","timestamp":1760235200361,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T00:00:00Z","timestamp":1627344000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771198","11901276"],"award-info":[{"award-number":["11771198","11901276"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we consider the following Kirchhoff-type equation: {u\u2208H1(RN),\u2212(a+b\u222bRN|\u2207u|2dx)\u0394u+V(x)u=(I\u03b1\u2217F(u))f(u)+\u03bbg(u),inRN, where a&gt;0, b\u22650, \u03bb&gt;0, \u03b1\u2208(N\u22122,N), N\u22653, V:RN\u2192R is a potential function and I\u03b1 is a Riesz potential of order \u03b1\u2208(N\u22122,N). Under certain assumptions on V(x), f(u) and g(u), we prove that the equation has at least one nontrivial solution by variational methods.<\/jats:p>","DOI":"10.3390\/axioms10030163","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T12:18:31Z","timestamp":1627388311000},"page":"163","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Existence of Nontrivial Solution for a Class of Kirchhoff-Type Equation of General Convolution Nonlinearity without Any Growth Conditions"],"prefix":"10.3390","volume":"10","author":[{"given":"Li","family":"Zhou","sequence":"first","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"},{"name":"Department of Basic Discipline, Nanchang JiaoTong Institute, Nanchang 330031, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuanxi","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanchang University, Nanchang 330031, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1016\/j.jde.2014.04.011","article-title":"Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \u211d3","volume":"257","author":"Li","year":"2014","journal-title":"J. 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