{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:52:39Z","timestamp":1760143959863,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,3,11]],"date-time":"2024-03-11T00:00:00Z","timestamp":1710115200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004763","name":"Natural Science Foundation of Inner Mongolia Autonomous Region","doi-asserted-by":"publisher","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}],"id":[{"id":"10.13039\/501100004763","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory of Infinite-dimensional Hamiltonian System and Its Algorithm Application (Inner Mongolia Normal University), Ministry of Education","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]},{"name":"Research Program of science and technology at Universities of Inner Mongolia Autonomous Region","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]},{"name":"Mathematics First-class Disciplines Cultivation Fund of Inner Mongolia Normal University","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]},{"name":"Fundamental Research Funds for the Inner Mongolia Normal University","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]},{"name":"Fundamental Research Funds for the Inner Mongolia Normal University","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]},{"name":"Graduate students\u2019 research Innovation fund of Inner Mongolia Normal University","award":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"],"award-info":[{"award-number":["2022MS01001","2023KFZD01","NJYT23100","2024YLKY14","2022JBQN072","2022JBXC03","CXJJS22100"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this thesis, we research quasilinear Schr\u00f6dinger system as follows in which 3&lt;N\u2208R, 2&lt;p&lt;N, 2&lt;q&lt;N, V1(x),V2(x) are continuous functions, k,\u03b9 are parameters with k,\u03b9&gt;0, and nonlinear terms f,h\u2208C(RN\u00d7R2,R). We find a nontrivial solution (u,v) for all \u03b9&gt;\u03b91(k) by means of the mountain-pass theorem and change of variable theorem. Our main novelty of the thesis is that we extend \u0394 to \u0394p and \u0394q to find the existence of a nontrivial solution.<\/jats:p>","DOI":"10.3390\/axioms13030182","type":"journal-article","created":{"date-parts":[[2024,3,11]],"date-time":"2024-03-11T04:51:12Z","timestamp":1710132672000},"page":"182","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Nontrivial Solutions for a Class of Quasilinear Schr\u00f6dinger Systems"],"prefix":"10.3390","volume":"13","author":[{"given":"Xue","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010011, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010011, China"},{"name":"Key Laboratory of Infinite-Dimensional Hamiltonian System and Its Algorithm Application, Ministry of Education, Inner Mongolia Normal University, Hohhot 010011, China"},{"name":"Center for Applied Mathematics Inner Mongolia, Inner Mongolia Normal University, Hohhot 010011, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1007\/s40840-017-0502-z","article-title":"Multiple Solutions for a Class of Quasilinear Schr\u00f6dinger Systems in RN","volume":"42","author":"Chen","year":"2019","journal-title":"Bull. 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