{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:31:32Z","timestamp":1777447892450,"version":"3.51.4"},"reference-count":48,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2017,11,3]],"date-time":"2017-11-03T00:00:00Z","timestamp":1509667200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2017,11,3]]},"abstract":"<jats:p>In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text] is the fractional Laplacian, [Formula: see text] is a bounded potential satisfying suitable assumptions, and [Formula: see text] has critical growth. We first analyze the case V constant, and then we develop a Jeanjean\u2013Tanaka argument [ Indiana Univ. Math. J. 54 (2005), 443\u2013464] to deal with the non autonomous case. As far as we know, all results presented here are new.<\/jats:p>","DOI":"10.3233\/asy-171438","type":"journal-article","created":{"date-parts":[[2017,11,5]],"date-time":"2017-11-05T10:53:56Z","timestamp":1509879236000},"page":"159-191","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Ground state solutions for a fractional Schr\u00f6dinger equation with critical growth"],"prefix":"10.1177","volume":"105","author":[{"given":"Vincenzo","family":"Ambrosio","sequence":"first","affiliation":[{"name":"Dipartimento di Scienze Pure e Applicate (DiSPeA), Universit\u00e0 degli Studi di Urbino \u2018Carlo Bo\u2019, Piazza della Repubblica, 13, 61029 Urbino, Pesaro e Urbino, Italy. E-mail:\u00a0"}]},{"given":"Giovany M.","family":"Figueiredo","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de Bras\u00edlia, 70.910-900, Bras\u00edlia \u2013 DF, Brazil. 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