Integral representation and relaxation of convex local functionals on $BV(\Omega )$

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[1]  R. Temam,et al.  Problèmes mathématiques en plasticité , 1983 .

[2]  R. Rockafellar Conjugate Duality and Optimization , 1987 .

[3]  G. Anzellotti,et al.  Pairings between measures and bounded functions and compensated compactness , 1983 .

[4]  R. Tyrrell Rockafellar,et al.  Convex Integral Functionals and Duality , 1971 .

[5]  Gianni Dal Maso,et al.  Integral representation on BV(ω) of Γ-limits of variational integrals , 1979 .

[6]  Necessary and sufficient conditions for the lower semicontinuity of certain integral functionals , 1988, ANNALI DELL UNIVERSITA DI FERRARA.

[7]  R. Tyrrell Rockafellar,et al.  Convex Analysis , 1970, Princeton Landmarks in Mathematics and Physics.

[8]  E. Giusti Minimal surfaces and functions of bounded variation , 1977 .

[9]  James Serrin,et al.  On the definition and properties of certain variational integrals , 1961 .

[10]  G. Bouchitte,et al.  Représentation intégrale de fonctionnelles convexes sur un espace de mesures , 1987, ANNALI DELL UNIVERSITA DI FERRARA.

[11]  J. Serrin,et al.  Sublinear functions of measures and variational integrals , 1964 .

[12]  I. Ekeland Review: C. Castaing and M. Valadier, Convex analysis and measurable multifunctions , 1978 .

[13]  H. Attouch Variational convergence for functions and operators , 1984 .

[14]  Giuseppe Buttazzo,et al.  Integral representation and relaxation of local functionals , 1985 .

[15]  Guy Bouchitté,et al.  Integral representation of convex functionals on a space of measures , 1988 .

[16]  Giuseppe Buttazzo,et al.  Functionals defined on measures and applications to non equi-uniformly elliptic problems , 1991 .

[17]  Leon Simon,et al.  Lectures on Geometric Measure Theory , 1984 .