{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T04:48:28Z","timestamp":1648615708297},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1988,5,1]],"date-time":"1988-05-01T00:00:00Z","timestamp":578448000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1988,5]]},"DOI":"10.1007\/bf01580760","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T09:52:50Z","timestamp":1114681970000},"page":"127-140","source":"Crossref","is-referenced-by-count":1,"title":["An example of stability for the minima of a sequence of dc functions: Homogenization for a class of nonlinear Sturm-Liouville problems"],"prefix":"10.1007","volume":"41","author":[{"given":"D.","family":"Az\u00e9","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"CR1","volume-title":"M\u00e9thodes Math\u00e9matiques de la M\u00e9canique Classique","author":"V.I. Arnold","year":"1976","unstructured":"V.I. Arnold,M\u00e9thodes Math\u00e9matiques de la M\u00e9canique Classique (French translation, Mir, Moscow, 1976)."},{"key":"CR2","volume-title":"Variational Convergence for Functions and Operators","author":"H. Attouch","year":"1984","unstructured":"H. Attouch,Variational Convergence for Functions and Operators (Pitman Applicable Series in Mathematics, London, 1984)."},{"key":"CR3","volume-title":"\u201cHomogenization for a Voltera equation,\u201d MRC Technical Summary Report 2566","author":"H. Attouch","year":"1983","unstructured":"H. Attouch and A. Damlamian, \u201cHomogenization for a Voltera equation,\u201d MRC Technical Summary Report 2566, University of Madison (Madison, Wisconsin, 1983)."},{"key":"CR4","volume-title":"L'Analyse Non Lin\u00e9aire et ses Motivations Economiques","author":"J.P. Aubin","year":"1984","unstructured":"J.P. Aubin,L'Analyse Non Lin\u00e9aire et ses Motivations Economiques (Masson, Paris, 1984)."},{"key":"CR5","volume-title":"Applied Nonlinear Analysis","author":"J.P. Aubin","year":"1984","unstructured":"J.P. Aubin and I. Ekeland,Applied Nonlinear Analysis (J. Wiley and Sons, New York, 1984)."},{"key":"CR6","volume-title":"Asymptotic Analysis for Periodic Structures","author":"A. Bensoussan","year":"1978","unstructured":"A. Bensoussan, J.L. Lions and G. Papanicolaou,Asymptotic Analysis for Periodic Structures (North-Holland, Amsterdam, 1978)."},{"key":"CR7","first-page":"13","volume-title":"Atti del convegno: Studio di Problemi Limiti della Analisi Funzionale","author":"L. Boccardo","year":"1981","unstructured":"L. Boccardo and F. Murat, \u201cHomog\u00e9n\u00e9isation de probl\u00e8mes quasi-lin\u00e9aires,\u201d in:Atti del convegno: Studio di Problemi Limiti della Analisi Funzionale (Pitagora, Bologna, 1981) pp. 13\u201351."},{"key":"CR8","volume-title":"Optimization and Nonsmooth Analysis","author":"F.H. Clarke","year":"1983","unstructured":"F.H. Clarke,Optimization and Nonsmooth Analysis (J. Wiley and Sons, New York, 1983)."},{"key":"CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0396(81)90007-3","volume":"40","author":"F.H. Clarke","year":"1978","unstructured":"F.H. Clarke, \u201cPeriodic solutions to Hamiltonian inclusions,\u201dJournal of Differential Equations 40 (1978) 1\u20136.","journal-title":"Journal of Differential Equations"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1002\/cpa.3160330202","volume":"33","author":"F.H. Clarke","year":"1980","unstructured":"F.H. Clarke and I. Ekeland, \u201cHamiltonian trajectories having prescribed minimal period,\u201dCommunications on Pure and Applied Mathematics 33 (1980) 103\u2013116.","journal-title":"Communications on Pure and Applied Mathematics"},{"key":"CR11","first-page":"131","volume-title":"Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis","author":"E. Giorgi De","year":"1979","unstructured":"E. De Giorgi, \u201cConvergence problems for functionals and operators,\u201d in: E. De Giorgi, E. Magenes and U. Mosco, eds.,Proceedings of the International Meeting on Recent Methods in Nonlinear Analysis (Pitagora, Bologna, 1979) pp. 131\u2013188."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1007\/BFb0066251","volume-title":"Mathematical Theory of Optimization, Lecture Notes in Mathematics 979","author":"I. Ekeland","year":"1983","unstructured":"I. Ekeland, \u201cDual variational methods in non convex optimization and differential equations,\u201d in: J.P. Cecconi and T. Zolezzi, eds.,Mathematical Theory of Optimization, Lecture Notes in Mathematics 979 (Springer, Berlin, 1983) pp. 108\u2013120."},{"key":"CR13","first-page":"493","volume":"291","author":"I. Ekeland","year":"1980","unstructured":"I. Ekeland and J.M. Lasry, \u201cProbl\u00e8mes variationnels non convexes en dualit\u00e9,\u201dNotes aux Comptes Rendus de l'Acad\u00e9mie des Sciences, Paris 291 (1980) 493\u2013497.","journal-title":"Notes aux Comptes Rendus de l'Acad\u00e9mie des Sciences, Paris"},{"key":"CR14","volume-title":"Analyse Convexe et Probl\u00e8mes Variationnels","author":"I. Ekeland","year":"1974","unstructured":"I. Ekeland and R. Temam,Analyse Convexe et Probl\u00e8mes Variationnels (Dunod, Paris, 1974)."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/0022-247X(76)90247-X","volume":"54","author":"J.L. Joly","year":"1976","unstructured":"J.L. Joly and F. De Thelin, \u201cConvergence d'int\u00e9grales convexes dans les espacesL p ,\u201dJournal of Mathematical Analysis and Applications 54 (1976) 230\u2013244.","journal-title":"Journal of Mathematical Analysis and Applications"},{"key":"CR16","unstructured":"L. Lassoued, private communication (June 1985)."},{"key":"CR17","volume-title":"M\u00e9canique","author":"L. Landau","year":"1969","unstructured":"L. Landau and L. Lifshitz,M\u00e9canique (French translation, Mir, Moscow, 1969)."},{"key":"CR18","doi-asserted-by":"crossref","unstructured":"J. Mawhin, J.R. Ward and M. Willem, \u201cVariational methods and semi-linear elliptic equations,\u201d to appear inArchive for Rational Mechanics and Analysis (1986).","DOI":"10.1007\/BF00251362"},{"key":"CR19","doi-asserted-by":"crossref","unstructured":"J. Mawhin and M. Willem, \u201cCritical points of convex perturbations of some indefinite quadratic form and semi-linear boundary value problems at resonance,\u201d to appear inAnnales de l'Institut Henri Poincar\u00e9 (1986).","DOI":"10.1016\/S0294-1449(16)30376-6"},{"key":"CR20","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/BF02417888","volume":"117","author":"P. Marcellini","year":"1978","unstructured":"P. Marcellini, \u201cPeriodic solutions and homogenization of non-linear variational problems,\u201dAnnali di Matematica Pura ed Applicata 117 (1978) 139\u2013152.","journal-title":"Annali di Matematica Pura ed Applicata"},{"key":"CR21","first-page":"383","volume":"26","author":"P. Marcellini","year":"1977","unstructured":"P. Marcellini and C. Sbordone, \u201cDualita e perturbazione di funzionali integrali,\u201dRicerche de Matematica 26 (1977) 383\u2013421.","journal-title":"Ricerche de Matematica"},{"key":"CR22","unstructured":"M. Matzeu, \u201cSu un tipo di continuita dell'operatore subdifferenziale,\u201dBolletino de l'UMI 14-B (1975) 480\u2013490."},{"key":"CR23","volume-title":"\u201cFonctionnelles convexes,\u201d Lecture notes","author":"J.J. Moreau","year":"1967","unstructured":"J.J. Moreau, \u201cFonctionnelles convexes,\u201d Lecture notes, Coll\u00e9ge de France (Paris, 1967)."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/BF02413475","volume":"112","author":"F. Murat","year":"1977","unstructured":"F. Murat, \u201cContre exemples pour divers probl\u00e8mes o\u00f9 le contr\u00d4le intervient dans les coefficients,\u201dAnnali di Matematica Pura ed Applicata 112 (1977) 49\u201368.","journal-title":"Annali di Matematica Pura ed Applicata"},{"key":"CR25","doi-asserted-by":"crossref","unstructured":"R.T. Rockafellar, \u201cIntegral functionals, normal integrands and measurable selections,\u201d in: J.P. Gossez, E.J. Lami Dozo, J. Mawhin and L. Waelbroeck, eds.,Nonlinear Operators and the Calculus of Variations (Springer Lecture Notes in Mathematics 543, Berlin, 1976) pp. 157\u2013207.","DOI":"10.1007\/BFb0079944"},{"key":"CR26","series-title":"Conference Board of Mathematical Science Series","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970524","volume-title":"Conjugate Duality and Optimization","author":"R.T. Rockafellar","year":"1974","unstructured":"R.T. Rockafellar,Conjugate Duality and Optimization (Conference Board of Mathematical Science Series 16, SIAM Publication, Philadelphia, PA, 1974)."},{"key":"CR27","volume-title":"Nonhomogenous Media and Vibration Theory, Lecture Notes in Physics 127","author":"E. Sanchez-Palencia","year":"1980","unstructured":"E. Sanchez-Palencia,Nonhomogenous Media and Vibration Theory, Lecture Notes in Physics 127 (Springer, Berlin, 1980)."},{"key":"CR28","volume-title":"\u201cCours Peccot 1977,\u201d Lecture notes","author":"L. Tartar","year":"1977","unstructured":"L. Tartar, \u201cCours Peccot 1977,\u201d Lecture notes, Coll\u00e9ge de France (Paris, 1977)."},{"key":"CR29","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF00250669","volume":"71","author":"J. Toland","year":"1979","unstructured":"J. Toland, \u201cA duality principle for non convex optimization problems and the calculus of variations,\u201dArchive for Rational Mechanics and Analysis 71 (1979) 41\u201361.","journal-title":"Archive for Rational Mechanics and Analysis"},{"key":"CR30","volume-title":"\u201cApplication des m\u00e9thodes de repr\u00e9sentation int\u00e9grale et d'approximation inf-convolutive \u00e0 l'epi-convergence,\u201d Technical Report 85-05","author":"A. Truffert","year":"1985","unstructured":"A. Truffert, \u201cApplication des m\u00e9thodes de repr\u00e9sentation int\u00e9grale et d'approximation inf-convolutive \u00e0 l'epi-convergence,\u201d Technical Report 85-05, Universit\u00e9 de Perpignan (Perpignan 1985)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580760.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01580760\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01580760","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,7]],"date-time":"2020-04-07T03:56:13Z","timestamp":1586231773000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01580760"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,5]]},"references-count":30,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1988,5]]}},"alternative-id":["BF01580760"],"URL":"https:\/\/doi.org\/10.1007\/bf01580760","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988,5]]}}}