Arroyo-Rabasa, Adolfo; Diermeier, Johannes Generalized multiscale Young measures. (English) Zbl 1445.28002 SIAM J. Math. Anal. 52, No. 4, 3252-3300 (2020). Reviewer: Daniele Puglisi (Catania) MSC: 28A33 28A50 49K20 49Q20 PDF BibTeX XML Cite \textit{A. Arroyo-Rabasa} and \textit{J. Diermeier}, SIAM J. Math. Anal. 52, No. 4, 3252--3300 (2020; Zbl 1445.28002) Full Text: DOI
James, Richard D. Materials from mathematics. (English) Zbl 1409.74035 Bull. Am. Math. Soc., New Ser. 56, No. 1, 1-28 (2019). Reviewer: Alexandre Danescu (Lyon) MSC: 74N30 74N05 74N20 74G65 82B26 74-02 PDF BibTeX XML Cite \textit{R. D. James}, Bull. Am. Math. Soc., New Ser. 56, No. 1, 1--28 (2019; Zbl 1409.74035) Full Text: DOI
Ito, Ryo Analysis of the minimal traveling wave speed via the methods of Young measures. (English) Zbl 1394.35100 SIAM J. Math. Anal. 50, No. 4, 3478-3534 (2018). MSC: 35C07 35A15 35K55 35K57 92D40 PDF BibTeX XML Cite \textit{R. Ito}, SIAM J. Math. Anal. 50, No. 4, 3478--3534 (2018; Zbl 1394.35100) Full Text: DOI
De Philippis, Guido; Rindler, Filip Characterization of generalized Young measures generated by symmetric gradients. (English) Zbl 1372.49018 Arch. Ration. Mech. Anal. 224, No. 3, 1087-1125 (2017). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 90C52 74C99 PDF BibTeX XML Cite \textit{G. De Philippis} and \textit{F. Rindler}, Arch. Ration. Mech. Anal. 224, No. 3, 1087--1125 (2017; Zbl 1372.49018) Full Text: DOI arXiv
Harrison, Jenny; Pugh, Harrison Plateau’s problem. (English) Zbl 1350.49059 Nash, John Forbes jun. (ed.) et al., Open problems in mathematics. Cham: Springer (ISBN 978-3-319-32160-8/hbk; 978-3-319-32162-2/ebook). 273-302 (2016). MSC: 49Q05 53A10 49-02 PDF BibTeX XML Cite \textit{J. Harrison} and \textit{H. Pugh}, in: Open problems in mathematics. Cham: Springer. 273--302 (2016; Zbl 1350.49059) Full Text: DOI
Li, Bang-He; Li, Tian-Hong Young measures as probability distributions of Loeb spaces. (English) Zbl 1242.28026 Proc. Am. Math. Soc. 140, No. 1, 207-215 (2012). Reviewer: Hans Weber (Udine) MSC: 28E05 28A20 26E35 PDF BibTeX XML Cite \textit{B.-H. Li} and \textit{T.-H. Li}, Proc. Am. Math. Soc. 140, No. 1, 207--215 (2012; Zbl 1242.28026) Full Text: DOI
Rossoni, Enrico; Kang, Jing; Feng, Jianfeng Controlling precise movement with stochastic signals. (English) Zbl 1266.92042 Biol. Cybern. 102, No. 5, 441-450 (2010). MSC: 92C20 93E20 90C26 PDF BibTeX XML Cite \textit{E. Rossoni} et al., Biol. Cybern. 102, No. 5, 441--450 (2010; Zbl 1266.92042) Full Text: DOI
Kristensen, Jan; Rindler, Filip Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV. (English) Zbl 1245.49060 Arch. Ration. Mech. Anal. 197, No. 2, 539-598 (2010); erratum ibid. 203, No. 2, 693-700 (2012). MSC: 49Q20 49J45 PDF BibTeX XML Cite \textit{J. Kristensen} and \textit{F. Rindler}, Arch. Ration. Mech. Anal. 197, No. 2, 539--598 (2010; Zbl 1245.49060) Full Text: DOI
Delladio, Silvano A class of one-dimensional geometric variational problem with energy involving the curvature and its derivatives: a geometric measure-theoretic approach. (English) Zbl 1164.49010 Ann. Mat. Pura Appl. (4) 187, No. 4, 611-645 (2008). Reviewer: Michele Miranda (Ferrara) MSC: 49Q15 49Q20 49J45 28A75 53A04 PDF BibTeX XML Cite \textit{S. Delladio}, Ann. Mat. Pura Appl. (4) 187, No. 4, 611--645 (2008; Zbl 1164.49010) Full Text: DOI
Meziat, René J.; Villalobos, Jorge Analysis of microstructures and phase transition phenomena in one-dimensional, non-linear elasticity by convex optimization. (English) Zbl 1245.74048 Struct. Multidiscip. Optim. 32, No. 6, 507-519 (2006). MSC: 74M25 90C25 74P99 74B20 49N90 74G65 74N15 PDF BibTeX XML Cite \textit{R. J. Meziat} and \textit{J. Villalobos}, Struct. Multidiscip. Optim. 32, No. 6, 507--519 (2006; Zbl 1245.74048) Full Text: DOI
Chentsov, A. G. Finitely additive measures and extensions of abstract control problems. (English. Russian original) Zbl 1157.28301 J. Math. Sci., New York 133, No. 2, 1045-1206 (2006); translation from Sovrem. Mat. Prilozh. 17, 3-153 (2004). MSC: 28A33 28A12 49K27 93C25 PDF BibTeX XML Cite \textit{A. G. Chentsov}, J. Math. Sci., New York 133, No. 2, 1045--1206 (2006; Zbl 1157.28301); translation from Sovrem. Mat. Prilozh. 17, 3--153 (2004) Full Text: DOI
Gamkredidze, R. V. (ed.) Optimal control. Transl. from the Russian. (English) Zbl 1087.49500 J. Math. Sci., New York 133, No. 2, 1045-1206 (2006). MSC: 49-06 00B15 PDF BibTeX XML Cite \textit{R. V. Gamkredidze} (ed.), J. Math. Sci., New York 133, No. 2, 1045--1206 (2006; Zbl 1087.49500) Full Text: DOI
Muñoz, Julio; Pedregal, Pablo A refinement on existence results in nonconvex optimal control. (English) Zbl 1019.49003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 3, 381-398 (2001). Reviewer: Jean-Pierre Raymond (Toulouse) MSC: 49J15 49Q20 49K15 49J45 PDF BibTeX XML Cite \textit{J. Muñoz} and \textit{P. Pedregal}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 3, 381--398 (2001; Zbl 1019.49003) Full Text: DOI
Pedregal, Pablo Optimization, relaxation and Young measures. (English) Zbl 0916.49011 Bull. Am. Math. Soc., New Ser. 36, No. 1, 27-58 (1999). Reviewer: G.Buttazzo (Pisa) MSC: 49J45 49J15 74B20 74E30 74S30 74P10 PDF BibTeX XML Cite \textit{P. Pedregal}, Bull. Am. Math. Soc., New Ser. 36, No. 1, 27--58 (1999; Zbl 0916.49011) Full Text: DOI
Michel, Julien; Robert, Raoul Statistical equilibrium states and long-time dynamics for a transport equation. (English) Zbl 1081.82631 J. Stat. Phys. 83, No. 3-4, 779-789 (1996). MSC: 82C70 PDF BibTeX XML Cite \textit{J. Michel} and \textit{R. Robert}, J. Stat. Phys. 83, No. 3--4, 779--789 (1996; Zbl 1081.82631) Full Text: DOI
Pickenhain, S. A pointwise maximum principle in optimal control with multiple integrals. (English) Zbl 0885.49012 Optimization 38, No. 4, 343-355 (1996). MSC: 49K20 49K27 PDF BibTeX XML Cite \textit{S. Pickenhain}, Optimization 38, No. 4, 343--355 (1996; Zbl 0885.49012) Full Text: DOI
Michel, Julien; Robert, Raoul Statistical mechanical theory of the Great Red Spot of Jupiter. (English) Zbl 0843.76091 J. Stat. Phys. 77, No. 3-4, 645-666 (1994). MSC: 76U05 85A30 PDF BibTeX XML Cite \textit{J. Michel} and \textit{R. Robert}, J. Stat. Phys. 77, No. 3--4, 645--666 (1994; Zbl 0843.76091) Full Text: DOI
Michel, Julien; Robert, Raoul Large deviations for Young measures and statistical mechanics of infinite dimensional dynamical systems with conservation law. (English) Zbl 0793.60109 Commun. Math. Phys. 159, No. 1, 195-215 (1994). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 60F10 82B31 PDF BibTeX XML Cite \textit{J. Michel} and \textit{R. Robert}, Commun. Math. Phys. 159, No. 1, 195--215 (1994; Zbl 0793.60109) Full Text: DOI
Pomeau, Yves Long time behavior of solutions of nonlinear classical field equations: The example of NLS defocusing. (English) Zbl 0785.35099 Physica D 61, No. 1-4, 227-239 (1992). MSC: 35Q55 81V15 PDF BibTeX XML Cite \textit{Y. Pomeau}, Physica D 61, No. 1--4, 227--239 (1992; Zbl 0785.35099) Full Text: DOI
Fonseca, Irene; Parry, Gareth Equilibrium configurations of defective crystals. (English) Zbl 0785.73007 Arch. Ration. Mech. Anal. 120, No. 3, 245-283 (1992). Reviewer: G.Capriz (Pisa) MSC: 74E10 74A60 74M25 74S30 74P10 PDF BibTeX XML Cite \textit{I. Fonseca} and \textit{G. Parry}, Arch. Ration. Mech. Anal. 120, No. 3, 245--283 (1992; Zbl 0785.73007) Full Text: DOI
Fonseca, Irene Lower semicontinuity of surface energies. (English) Zbl 0757.49013 Proc. R. Soc. Edinb., Sect. A 120, No. 1-2, 99-115 (1992). Reviewer: R.De Arcangelis (Fisciano) MSC: 49J45 PDF BibTeX XML Cite \textit{I. Fonseca}, Proc. R. Soc. Edinb., Sect. A, Math. 120, No. 1--2, 99--115 (1992; Zbl 0757.49013) Full Text: DOI
Robert, Raoul A maximum-entropy principle for two-dimensional perfect fluid dynamics. (English) Zbl 0935.76530 J. Stat. Phys. 65, No. 3-4, 531-553 (1991). MSC: 76F99 76M35 35Q35 PDF BibTeX XML Cite \textit{R. Robert}, J. Stat. Phys. 65, No. 3--4, 531--553 (1991; Zbl 0935.76530) Full Text: DOI
Dacorogna, B. A relaxation theorem and its application to the equilibrium of gases. (English) Zbl 0492.49002 Arch. Ration. Mech. Anal. 77, 359-386 (1981). MSC: 49J20 49J45 80A10 35D05 PDF BibTeX XML Cite \textit{B. Dacorogna}, Arch. Ration. Mech. Anal. 77, 359--386 (1981; Zbl 0492.49002) Full Text: DOI
Lewis, R. M.; Vinter, R. B. Relaxation of optimal control problems to equivalent convex programs. (English) Zbl 0443.49015 J. Math. Anal. Appl. 74, 475-493 (1980). MSC: 49J45 49J15 49K15 90C25 PDF BibTeX XML Cite \textit{R. M. Lewis} and \textit{R. B. Vinter}, J. Math. Anal. Appl. 74, 475--493 (1980; Zbl 0443.49015) Full Text: DOI
Michel, Philippe Generalized controls: A necessary condition for optimality in a Banach space. (English) Zbl 0328.49006 J. Math. Anal. Appl. 50, 20-41 (1975). MSC: 49K27 46E15 93B05 PDF BibTeX XML Cite \textit{P. Michel}, J. Math. Anal. Appl. 50, 20--41 (1975; Zbl 0328.49006) Full Text: DOI
Berliocchi, Henri; Lasry, Jean-Michel Intégrandes normales et mesures paramètrées en calcul des variations. (French) Zbl 0282.49041 Bull. Soc. Math. Fr. 101, 129-184 (1973). MSC: 49Q20 PDF BibTeX XML Cite \textit{H. Berliocchi} and \textit{J.-M. Lasry}, Bull. Soc. Math. Fr. 101, 129--184 (1973; Zbl 0282.49041) Full Text: DOI Numdam EuDML
Michel, Philippe Commandes généralisées à valeurs dans un espace compact. Théoremes d’existence. (French) Zbl 0249.49005 Rev. Franc. Automat. Inform. Rech. Operat. 6, No.R-1, 37-55 (1972). MSC: 49J27 49J45 PDF BibTeX XML Cite \textit{P. Michel}, Rev. Franc. Automat. Inform. Rech. Operat., R 6, No. 1, 37--55 (1972; Zbl 0249.49005) Full Text: DOI EuDML
Ekeland, I. Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.). (French) Zbl 0227.49001 J. Funct. Anal. 9, 1-62 (1972). MSC: 49J20 49K20 PDF BibTeX XML Cite \textit{I. Ekeland}, J. Funct. Anal. 9, 1--62 (1972; Zbl 0227.49001) Full Text: DOI
Fleming, W. H.; Young, L. C. Representations of generalized surfaces as mixtures. (English) Zbl 0075.30703 Rend. Circ. Mat. Palermo, II. Ser. 5, 117-144 (1956). PDF BibTeX XML Cite \textit{W. H. Fleming} and \textit{L. C. Young}, Rend. Circ. Mat. Palermo (2) 5, 117--144 (1956; Zbl 0075.30703) Full Text: DOI
Fleming, W. H.; Young, L. C. A generalized notion of boundary. (English) Zbl 0058.04602 Trans. Am. Math. Soc. 76, 457-484 (1954). PDF BibTeX XML Cite \textit{W. H. Fleming} and \textit{L. C. Young}, Trans. Am. Math. Soc. 76, 457--484 (1954; Zbl 0058.04602) Full Text: DOI
Young, Laurent Chisholm Surfaces paramétriques généralisées. (French) Zbl 0044.10203 Bull. Soc. Math. Fr. 79, 59-84 (1951). PDF BibTeX XML Cite \textit{L. C. Young}, Bull. Soc. Math. Fr. 79, 59--84 (1951; Zbl 0044.10203) Full Text: DOI Numdam EuDML