{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T00:15:04Z","timestamp":1771632904574,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T00:00:00Z","timestamp":1617926400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"PRIN","award":["2019"],"award-info":[{"award-number":["2019"]}]},{"name":"RUDN University Strategic Academic Leadership Program","award":["Moscow"],"award-info":[{"award-number":["Moscow"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we study a class of anisotropic variable exponent problems involving the p\u2192(.)-Laplacian. By using the variational method as our main tool, we present a result regarding the existence of solutions without the so-called Ambrosetti\u2013Rabinowitz-type conditions.<\/jats:p>","DOI":"10.3390\/sym13040633","type":"journal-article","created":{"date-parts":[[2021,4,12]],"date-time":"2021-04-12T11:05:06Z","timestamp":1618225506000},"page":"633","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["An Existence Result for a Class of p(x)\u2014Anisotropic Type Equations"],"prefix":"10.3390","volume":"13","author":[{"given":"Anass","family":"Ourraoui","sequence":"first","affiliation":[{"name":"FSO, Department of Mathematics, University of Mohammed First, Oujda BP 524-60000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6611-6370","authenticated-orcid":false,"given":"Maria Alessandra","family":"Ragusa","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, 95125 Catania, Italy"},{"name":"RUDN University, 6 Miklukho\u2014Maklay St, 117198 Moscow, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/s0294-1449(97)80147-3","article-title":"Convex symmetrization and applications","volume":"14","author":"Alvino","year":"1997","journal-title":"Ann. 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