{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:06:26Z","timestamp":1760144786105,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,14]],"date-time":"2024-05-14T00:00:00Z","timestamp":1715644800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Considering the solutions of a class of noncooperative Kirchhoff-type p(x)-Laplacian elliptic systems with nonlinear boundary conditions, we derive a sequence of solutions utilizing both the variational method and limit index theory under certain underlying assumptions. The novelty of this study is that we verify the (PS)c* condition using another method, diverging from the approaches cited in the previous literature.<\/jats:p>","DOI":"10.3390\/axioms13050325","type":"journal-article","created":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T03:35:55Z","timestamp":1715744155000},"page":"325","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multiplicity of Solutions for the Noncooperative Kirchhoff-Type Variable Exponent Elliptic System with Nonlinear Boundary Conditions"],"prefix":"10.3390","volume":"13","author":[{"given":"Yiying","family":"Mao","sequence":"first","affiliation":[{"name":"School of Science, Jiangnan University, Wuxi 214122, China"}]},{"given":"Yang","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Science, Jiangnan University, Wuxi 214122, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"200","DOI":"10.4064\/sm-3-1-200-211","article-title":"\u00dcber Konjugierte Exponentenfolgen","volume":"3","author":"Orlicz","year":"1931","journal-title":"Stud. 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