{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T21:03:14Z","timestamp":1758402194249},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,4,7]],"date-time":"2012-04-07T00:00:00Z","timestamp":1333756800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1007\/s11590-012-0474-8","type":"journal-article","created":{"date-parts":[[2012,4,6]],"date-time":"2012-04-06T08:10:43Z","timestamp":1333699843000},"page":"1027-1033","source":"Crossref","is-referenced-by-count":18,"title":["Local minimizers versus X-local minimizers"],"prefix":"10.1007","volume":"7","author":[{"given":"Akhtar A.","family":"Khan","sequence":"first","affiliation":[]},{"given":"Dumitru","family":"Motreanu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,4,7]]},"reference":[{"key":"474_CR1","first-page":"465","volume":"317","author":"H. Brezis","year":"1993","unstructured":"Brezis H., Nirenberg L.: H 1 versus C 1 local minimizers. C. R. Acad. Sci. Paris S\u00e9r. I Math. 317, 465\u2013472 (1993)","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"474_CR2","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1142\/S0219199700000190","volume":"2","author":"J.P. Garcia Azorero","year":"2000","unstructured":"Garcia Azorero J.P., Peral Alonso I., Manfredi J.: Sobolev versus H\u00f6lder local minimizers and global multiplicity for some quasilinear elliptic equations. Commun. Contemp. Math. 2, 385\u2013404 (2000)","journal-title":"Commun. Contemp. Math."},{"key":"474_CR3","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/S0022-247X(03)00282-8","volume":"286","author":"Z. Guo","year":"2003","unstructured":"Guo Z., Zhang Z.: W 1,p versus C 1 local minimizers and multiplicity results for quasilinear elliptic equations. J. Math. Anal. Appl. 286, 32\u201350 (2003)","journal-title":"J. Math. Anal. Appl."},{"key":"474_CR4","volume-title":"Partial Differential Equations. Graduate Texts in Mathematics, vol. 214","author":"J. Jost","year":"2007","unstructured":"Jost J.: Partial Differential Equations. Graduate Texts in Mathematics, vol. 214, 2nd edn. Springer, New York (2007)","edition":"2"},{"key":"474_CR5","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1016\/0362-546X(88)90053-3","volume":"12","author":"G.M. Lieberman","year":"1988","unstructured":"Lieberman G.M.: Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Anal. 12, 1203\u20131219 (1988)","journal-title":"Nonlinear Anal."},{"key":"474_CR6","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1512\/iumj.2009.58.3565","volume":"58","author":"D. Motreanu","year":"2009","unstructured":"Motreanu D., Motreanu V.V., Papageorgiou N.S.: Nonlinear Neumann problems near resonance. Indiana Univ. Math. J. 58, 1257\u20131279 (2009)","journal-title":"Indiana Univ. Math. J."},{"key":"474_CR7","doi-asserted-by":"crossref","first-page":"3527","DOI":"10.1090\/S0002-9939-2011-10884-0","volume":"139","author":"D. Motreanu","year":"2011","unstructured":"Motreanu D., Papageorgiou N.S.: Multiple solutions for nonlinear Neumann problems driven by a nonhomogeneous differential operator. Proc. Am. Math. Soc. 139, 3527\u20133535 (2011)","journal-title":"Proc. Am. Math. Soc."},{"key":"474_CR8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/s00526-011-0410-2","volume":"43","author":"D. Motreanu","year":"2012","unstructured":"Motreanu D., Tanaka M.: Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition. Calc. Var. Partial Differ. Equ. 43, 231\u2013264 (2012)","journal-title":"Calc. Var. Partial Differ. Equ."},{"key":"474_CR9","doi-asserted-by":"crossref","first-page":"861","DOI":"10.2307\/2373250","volume":"87","author":"S. Smale","year":"1965","unstructured":"Smale S.: An infinite dimensional version of Sard\u2019s theorem. Am. J. Math. 87, 861\u2013866 (1965)","journal-title":"Am. J. Math."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-012-0474-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-012-0474-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-012-0474-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,5]],"date-time":"2020-07-05T14:33:29Z","timestamp":1593959609000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-012-0474-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4,7]]},"references-count":9,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["474"],"URL":"https:\/\/doi.org\/10.1007\/s11590-012-0474-8","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,4,7]]}}}