Existence and characterization of BV -curves for problems of calculus of variations

作者: Jean Pierre Raymond , Driss Seghir

DOI: 10.1016/S0362-546X(97)82863-5

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参考文章(19)
Paolo Marcellini, The Stored-Energy for Some Discontinuous Deformations in Nonlinear Elasticity Progr. Nonlinear Differential Equations Appl., 2, Birkhäuser Boston, Boston, MA, 1989. pp. 767- 786 ,(1989) , 10.1007/978-1-4615-9831-2_11
Paolo Marcellini, Non convex integrals of the Calculus of Variations Springer Berlin Heidelberg. pp. 16- 57 ,(1990) , 10.1007/BFB0084930
Lamberto Cesari, Optimization-Theory and Applications ,(1983)
Gianni Dal Maso, Franco Rampazzo, On systems of ordinary differential equations with measures as controls Differential and Integral Equations. ,vol. 4, pp. 739- 765 ,(1991)
Patricio Aviles, Yoshikazu Giga, Variational integrals on mappings of bounded variation and their lower semicontinuity Archive for Rational Mechanics and Analysis. ,vol. 115, pp. 201- 255 ,(1991) , 10.1007/BF00380769
Elvira Mascolo, Rosanna Schianchi, Existence theorems in the calculus of variations Journal of Differential Equations. ,vol. 67, pp. 185- 198 ,(1987) , 10.1016/0022-0396(87)90145-8
A. D. Ioffe, On Lower Semicontinuity of Integral Functionals. II SIAM Journal on Control and Optimization. ,vol. 15, pp. 991- 1000 ,(1977) , 10.1137/0315064
J.P. Raymond, D. Seghir, Lower Semicontinuity and Integral Representation of Functionals in BV([a, b]; Rm) Journal of Mathematical Analysis and Applications. ,vol. 188, pp. 956- 984 ,(1994) , 10.1006/JMAA.1994.1473
E. J. McShane, Some existence theorems in the calculus of variations. IV. Isoperimetric problems in non-parametric form Transactions of the American Mathematical Society. ,vol. 45, pp. 173- 196 ,(1939) , 10.1090/S0002-9947-1939-1501986-2
E. J. McShane, Some existence theorems for problems in the calculus of variations Duke Mathematical Journal. ,vol. 4, pp. 132- 156 ,(1938) , 10.1215/S0012-7094-38-00411-9