{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:53:02Z","timestamp":1777456382662,"version":"3.51.4"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,8,31]],"date-time":"2012-08-31T00:00:00Z","timestamp":1346371200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2013,4]]},"DOI":"10.1007\/s00332-012-9148-z","type":"journal-article","created":{"date-parts":[[2012,8,30]],"date-time":"2012-08-30T19:33:57Z","timestamp":1346355237000},"page":"179-204","source":"Crossref","is-referenced-by-count":22,"title":["A New Minimum Principle for Lagrangian Mechanics"],"prefix":"10.1007","volume":"23","author":[{"given":"Matthias","family":"Liero","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ulisse","family":"Stefanelli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,8,31]]},"reference":[{"issue":"9","key":"9148_CR1","doi-asserted-by":"crossref","first-page":"1120","DOI":"10.1016\/j.aml.2010.04.047","volume":"23","author":"G. Akagi","year":"2010","unstructured":"Akagi, G., Stefanelli, U.: A variational principle for doubly nonlinear evolution. Appl. Math. Lett. 23(9), 1120\u20131124 (2010)","journal-title":"Appl. Math. Lett."},{"issue":"9","key":"9148_CR2","doi-asserted-by":"crossref","first-page":"2541","DOI":"10.1016\/j.jfa.2010.12.027","volume":"260","author":"G. Akagi","year":"2011","unstructured":"Akagi, G., Stefanelli, U.: Weighted energy-dissipation functionals for doubly nonlinear evolution. J. Funct. Anal. 260(9), 2541\u20132578 (2011)","journal-title":"J. Funct. Anal."},{"key":"9148_CR3","unstructured":"Akagi, G., Stefanelli, U.: Doubly nonlinear evolution equations as convex minimization problems (2012, in preparation)"},{"key":"9148_CR4","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2063-1","volume-title":"Mathematical Methods of Classical Mechanics","author":"V.I. Arnol\u2019d","year":"1989","unstructured":"Arnol\u2019d, V.I.: Mathematical Methods of Classical Mechanics, 2nd edn. Graduate Texts in Mathematics, vol. 60. Springer, New York (1989). Translated from the Russian by K. Vogtmann and A. Weinstein","edition":"2"},{"key":"9148_CR5","volume-title":"Variational Principles in Physics","author":"J.-L. Basdevant","year":"2007","unstructured":"Basdevant, J.-L.: Variational Principles in Physics. Springer, New York (2007)"},{"key":"9148_CR6","series-title":"Interaction of Mechanics and Mathematics","volume-title":"Variational Principles of Continuum Mechanics. I","author":"V.L. Berdichevsky","year":"2009","unstructured":"Berdichevsky, V.L.: Variational Principles of Continuum Mechanics. I. Interaction of Mechanics and Mathematics. Springer, Berlin (2009). Fundamentals"},{"key":"9148_CR7","series-title":"Grundlehren der Mathematischen Wissenschaften","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-66451-9","volume-title":"Interpolation Spaces. An Introduction","author":"J. Bergh","year":"1976","unstructured":"Bergh, J., L\u00f6fstr\u00f6m, J.: Interpolation Spaces. An Introduction. Grundlehren der Mathematischen Wissenschaften, vol. 223. Springer, Berlin (1976)"},{"key":"9148_CR8","doi-asserted-by":"crossref","first-page":"1885","DOI":"10.1016\/j.jmps.2007.11.006","volume":"56","author":"S. Conti","year":"2008","unstructured":"Conti, S., Ortiz, M.: Minimum principles for the trajectories of systems governed by rate problems. J.\u00a0Mech. Phys. Solids 56, 1885\u20131904 (2008)","journal-title":"J.\u00a0Mech. Phys. Solids"},{"key":"9148_CR9","series-title":"Progress in Nonlinear Differential Equations and Their Applications","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0327-8","volume-title":"An Introduction to \u0393-Convergence","author":"G. Dal\u00a0Maso","year":"1993","unstructured":"Dal\u00a0Maso, G.: An Introduction to \u0393-Convergence. Progress in Nonlinear Differential Equations and Their Applications, vol. 8. Birkh\u00e4user Boston Inc., Boston (1993)"},{"issue":"2","key":"9148_CR10","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1215\/S0012-7094-96-08114-4","volume":"81","author":"E. Giorgi De","year":"1996","unstructured":"De Giorgi, E.: Conjectures concerning some evolution problems. Duke Math. J. 81(2), 255\u2013268 (1996)","journal-title":"Duke Math. J."},{"key":"9148_CR11","first-page":"63","volume-title":"Proceedings of the Brescia Mathematical Seminar","author":"E. Giorgi De","year":"1979","unstructured":"De Giorgi, E., Franzoni, T.: On a type of variational convergence. In: Proceedings of the Brescia Mathematical Seminar, Italian, vol. 3, pp. 63\u2013101. Univ. Cattolica Sacro Cuore, Milan (1979)"},{"key":"9148_CR12","unstructured":"Ghoussoub, N.: Selfdual Partial Differential Systems and Their Variational Principles. Universitext. Springer (2008, in press)"},{"key":"9148_CR13","series-title":"Springer Series in Computational Mathematics","volume-title":"Geometric Numerical Integration","author":"E. Hairer","year":"2006","unstructured":"Hairer, E., Lubich, Ch., Wanner, G.: Geometric Numerical Integration, 2nd edn. Springer Series in Computational Mathematics, vol. 31. Springer, Berlin (2006). Structure-preserving algorithms for ordinary differential equations","edition":"2"},{"issue":"520","key":"9148_CR14","first-page":"x+90","volume":"108","author":"T. Ilmanen","year":"1994","unstructured":"Ilmanen, T.: Elliptic regularization and partial regularity for motion by mean curvature. Mem. Am. Math. Soc. 108(520), x+90 (1994)","journal-title":"Mem. Am. Math. Soc."},{"key":"9148_CR15","series-title":"Mathematical Expositions","volume-title":"The Variational Principles of Mechanics","author":"C. L\u00e1nczos","year":"1970","unstructured":"L\u00e1nczos, C.: The Variational Principles of Mechanics, 4th edn. Mathematical Expositions, vol. 4. University of Toronto Press, Toronto (1970)","edition":"4"},{"issue":"3","key":"9148_CR16","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1007\/s00205-009-0216-y","volume":"193","author":"C.J. Larsen","year":"2009","unstructured":"Larsen, C.J., Ortiz, M., Richardson, C.L.: Fracture paths from front kinetics: relaxation and rate independence. Arch. Ration. Mech. Anal. 193(3), 539\u2013583 (2009)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9148_CR17","unstructured":"Liero, M., Stefanelli, U.: The weighted inertia-dissipation-energy variational approach to hyperbolic-parabolic semilinear systems (2012, in preparation)"},{"key":"9148_CR18","volume-title":"Non-homogeneus Boundary Value Problems and Applications","author":"J.-L. Lions","year":"1972","unstructured":"Lions, J.-L., Magenes, E.: Non-homogeneus Boundary Value Problems and Applications, vol. 1. Springer, New York (1972)"},{"issue":"3","key":"9148_CR19","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1051\/cocv:2007064","volume":"14","author":"A. Mielke","year":"2008","unstructured":"Mielke, A., Ortiz, M.: A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems. ESAIM Control Optim. Calc. Var. 14(3), 494\u2013516 (2008)","journal-title":"ESAIM Control Optim. Calc. Var."},{"issue":"4","key":"9148_CR20","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1515\/ACV.2008.017","volume":"1","author":"A. Mielke","year":"2008","unstructured":"Mielke, A., Stefanelli, U.: A discrete variational principle for rate-independent evolution. Adv. Calc. Var. 1(4), 399\u2013431 (2008)","journal-title":"Adv. Calc. Var."},{"issue":"1","key":"9148_CR21","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1051\/cocv\/2009043","volume":"17","author":"A. Mielke","year":"2011","unstructured":"Mielke, A., Stefanelli, U.: Weighted energy-dissipation functionals for gradient flows. ESAIM Control Optim. Calc. Var. 17(1), 52\u201385 (2011)","journal-title":"ESAIM Control Optim. Calc. Var."},{"key":"9148_CR22","volume-title":"Variational Principles","author":"B.L. Moiseiwitsch","year":"2004","unstructured":"Moiseiwitsch, B.L.: Variational Principles. Dover Publications, Mineola (2004). Corrected reprint of the 1966 original"},{"key":"9148_CR23","doi-asserted-by":"crossref","unstructured":"Rossi, R., Savar\u00e9, G., Segatti, A., Stefanelli, U.: Weighted energy-dissipation functionals for gradient flows in metric spaces (2011a, in preparation)","DOI":"10.1016\/j.crma.2011.11.002"},{"key":"9148_CR24","doi-asserted-by":"crossref","first-page":"1224","DOI":"10.1016\/j.crma.2011.11.002","volume":"349","author":"R. Rossi","year":"2011","unstructured":"Rossi, R., Savar\u00e9, G., Segatti, A., Stefanelli, U.: A variational principle for gradient flows in metric spaces. C. R. Math. Acad. Sci. Paris 349, 1224\u20131228 (2011b)","journal-title":"C. R. Math. Acad. Sci. Paris"},{"key":"9148_CR25","doi-asserted-by":"crossref","unstructured":"Serra, E., Tilli, P.: Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi. Ann. Math. (2012, to appear)","DOI":"10.4007\/annals.2012.175.3.11"},{"key":"9148_CR26","unstructured":"Spadaro, E.N., Stefanelli, U.: A variational view at mean curvature evolution for linear growth functionals. J. Evol. Equ. (2011, to appear)"},{"issue":"6","key":"9148_CR27","doi-asserted-by":"crossref","first-page":"1377","DOI":"10.1142\/S0218202511005350","volume":"21","author":"U. Stefanelli","year":"2011","unstructured":"Stefanelli, U.: The De Giorgi conjecture on elliptic regularization. Math. Models Methods Appl. Sci. 21(6), 1377\u20131394 (2011)","journal-title":"Math. Models Methods Appl. Sci."}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-012-9148-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00332-012-9148-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-012-9148-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T07:28:32Z","timestamp":1562138912000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00332-012-9148-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,31]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,4]]}},"alternative-id":["9148"],"URL":"https:\/\/doi.org\/10.1007\/s00332-012-9148-z","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"value":"0938-8974","type":"print"},{"value":"1432-1467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,31]]}}}