Functionals with linear growth in the calculus of variations. II.

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1. ANZELLOTTI G., GIAQUINTA M., Funzioni BV e tracce, To appear. Zbl0432.46031MR0555952
2. ANZELLOTTI G., GIAQUINTA M., MASSARI U., MODICA G., PEPE L., Note sul problema di Plateau, Editrice tecnico scientifica, Pisa (1974) (1974) 
3. BERNSTEIN S., Sur les équations du calcul des variations, Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485 (1912) MR1509153
4. FEDERER H., Some properties of distributions..., Bull. Amer. Math. Soc. vol 74 n. 1 (1968) (1968) Zbl0163.36503MR0218893
5. FEDERER H., Geometric measure theory, Springer-Verlag, Berlin (1969) (1969) Zbl0176.00801MR0257325
6. GAGLIARDO E., Caratterizzazione delle tracce sulla frontiera ..., Rend. Sem. Mat. Univ. Padova 27(1967), 284-305 (1967) MR0102739
7. GERHARDT C., On the regularity of solutions to variational problems in BV$\left(\omega \right)$, Math. Z. 149 (1976), 281-286 (1976) Zbl0317.49052MR0417887
8. GIAQUINTA M., Sul problema di Dirichlet per le superfici a curvatura media assegnata, Symposia Math. 14 (1973) (1973) MR0420400
9. GIAQUINTA M., On the Dirichlet problem for surfaces of prescribed mean curvature, Manuscripta Math. 12 (1974), 73-86 (1974) Zbl0276.35038MR0336532
10. GIAQUINTA M., MODICA G., Regolarità Lipschitziana per le soluzionidi alcuni problemi di minimo con vincolo, Ann. di Mat. Pura e applicata (IV) vol. CVI (1975), 96-117 (1975) 
11. GIUSTI E., Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Scuola Norm. Sup. Pisa vol. III m. 3 (1976), 501-543 (1976) MR0482506
12. JENKINS H., SERRIN J., The Dirichlet problem for the minimal surface equation in higher dimensions, J. Heine Ang. Math. 229 (1968), 170-187 (1968) Zbl0159.40204MR0222467
13. LADYZHENSKAYA O. A., URAL'TSEVA N. N., Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations, Comm. on Pure and Appl. Math. 83 (1970), 677-703 (1970) Zbl0193.07202MR0265745
14. MIRANDA M., Distribuzioni aventi derivate misure ed insiemi di perimetro localmente finito, Ann. Scuola No Sup. Pisa 18 (1964), 27-56 (1964) MR0165073
15. MIRANDA M., Comportamento dells successioni convergenti di frontiers minimali, Rend. Sem. Mat, Padova 38 (1967), 238-257 (1967) MR0222735
16. MORREY C. B. jr., Multiple integrals in the calculus of variations, Springer-Verlag Berlin 1966 MR0202511
17. RESCHETNIYAK G., On the weak convergence for vector valued measures, (in Russian), Sibirskij Mat. J. 6 (1968), 1386- (1968) 
18. SERRIN J., On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc. 101 (1961), 139-167 (1961) Zbl0102.04601MR0138018
19. SERRIN J., The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Phil. Trans, of the Royal Soc. of London. Series A, n. 1153 vol. 264 (1969), 413-496 (1969) Zbl0181.38003MR0282058
20. SOUČEK J., Spaces of functions on domain $\omega$, whose $k$-th derivatives are measures defined on $\overline{\omega }$, Časopis pro pěstování matematiky 97 (1972), 10-46 (1972) MR0313798
21. STAMPACCHIA G., Equations elliptiques du second ordre à coefficients discontinus, Sem. de Math. Montréal. Les presses de l'Univ. (1966) (1966) Zbl0151.15501MR0251373

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