Discontinuous solutions in problems of optimization

Cesari, L.; Brandi, P.; Salvadori, A.

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 2, pp. 219-237

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[9] L. Cesari, (a) Existence of discontinuous absolute minima for certain multiple integrals without growth properties, Rend. Accad. Naz. Lincei, to appear; (b) Existence of BV discontinuous absolute minima for modified multiple integrals of the calculus of variations, Rend. Circolo Mat. Palermo, to appear; (c) Rankine-Hugoniot type properties in terms of the calculus of variations for BV solutions, to appear. | MR

[10] L. Cesari - P. Brandi - A. Salvadori, (a) Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions, Archive Rat. Mech. Anal. 98, 1987, pp. 307-328; (b) Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions, Annali Mat. Pura Appl. 153 (1989); (c) Seminormality conditions in the calculus of variations for BV solutions, to appear. | Zbl | MR

[11] L. Cesari - P. Pucci, (a) Remarks on discontinuous optimal solutions for simple integrals of the calculus of variations, Atti Sem. Mat. Fis. Univ. Modena, to appear; (b) Existence of BV discontinuous solutions of the Cauchy problem for conservation laws, to appear. | MR

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[23] G. Warner, (a) The Burkill-Cesari integral, Duke Math. J. 35, 1968, pp. 61-78; (b) The generalized Weierstrass-type integral ∫ f (ξ, Φ), Annali Scuola Norm. Sup. Pisa 22, 1968, pp. 163-192. | Numdam