A-quasiconvexity relaxation and homogenization by Andres Braides PDF

By Andres Braides

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Anal. [23] N. , 29 (1980), pp. 307–323. [24] M. Giaquinta and G. Modica, Regularity results for some classes of higher order non linear elliptic systems, J. f¨ ur reine and angew. , 311/312 (1979), pp. 145-169. [25] J. Kristensen, Finite functionals and Young measures generated by gradients of Sobolev functions, Mathematical Institute, Technical University of Denmark, Mat-Report No. 199434, 1994. [26] P. Marcellini, Approximation of quasiconvex functions and semicontinuity of multiple integrals, Manus.

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Mech. , 86 (1984), pp. 125 –145. [2] M. Amar and V. De Cicco, Relaxation of quasi-convex integrals of arbitrary order, Proc. Royal Soc. Edinburgh, 124A (1994), pp. 927–946. [3] L. Ambrosio, S. M. Tortorelli, Functionals with linear growth defined on vector valued BV functions, J. Math. , 70 (1991), pp. 269–323. [4] E. J. Balder, A general approach to lower semicontinuity and lower closure in optimal control theory, SIAM J. , 22 (1984), pp. 570–598. [5] J. M. Ball, A version of the fundamental theorem for Young measures, in PDE’s and Continuum Models of Phase Transitions, M.

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