Functionals with linear growth in the calculus of variations. II.
Giaquinta, Mariano ; Modica, Giuseppe ; Souček, Jiří
Commentationes Mathematicae Universitatis Carolinae, Tome 020 (1979), p. 157-172 / Harvested from Czech Digital Mathematics Library
Publié le : 1979-01-01
Classification:  35D05,  35D10,  35J20,  35J60,  49J10,  53A10
@article{105910,
     author = {Mariano Giaquinta and Giuseppe Modica and Ji\v r\'\i\ Sou\v cek},
     title = {Functionals with linear growth in the calculus of variations. II.},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {020},
     year = {1979},
     pages = {157-172},
     zbl = {0409.49007},
     mrnumber = {0526154},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105910}
}
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří. Functionals with linear growth in the calculus of variations. II.. Commentationes Mathematicae Universitatis Carolinae, Tome 020 (1979) pp. 157-172. http://gdmltest.u-ga.fr/item/105910/

Anzellotti G.; Giaquinta M. Funzioni BV e tracce, To appear. | MR 0555952 | Zbl 0432.46031

Anzellotti G.; Giaquinta M.; Massari U.; Modica G.; Pepe L. Note sul problema di Plateau, Editrice tecnico scientifica, Pisa (1974) (1974)

Bernstein S. Sur les équations du calcul des variations, Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485 (1912) | MR 1509153

Federer H. Some properties of distributions..., Bull. Amer. Math. Soc. vol 74 n. 1 (1968) (1968) | MR 0218893 | Zbl 0163.36503

Federer H. Geometric measure theory, Springer-Verlag, Berlin (1969) (1969) | MR 0257325 | Zbl 0176.00801

Gagliardo E. Caratterizzazione delle tracce sulla frontiera ..., Rend. Sem. Mat. Univ. Padova 27(1967), 284-305 (1967) | MR 0102739

Gerhardt C. On the regularity of solutions to variational problems in BV$(\omega )$, Math. Z. 149 (1976), 281-286 (1976) | MR 0417887 | Zbl 0317.49052

Giaquinta M. Sul problema di Dirichlet per le superfici a curvatura media assegnata, Symposia Math. 14 (1973) (1973) | MR 0420400

Giaquinta M. On the Dirichlet problem for surfaces of prescribed mean curvature, Manuscripta Math. 12 (1974), 73-86 (1974) | MR 0336532 | Zbl 0276.35038

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)

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) | MR 0482506

Jenkins H.; Serrin J. The Dirichlet problem for the minimal surface equation in higher dimensions, J. Heine Ang. Math. 229 (1968), 170-187 (1968) | MR 0222467 | Zbl 0159.40204

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) | MR 0265745 | Zbl 0193.07202

Miranda M. Distribuzioni aventi derivate misure ed insiemi di perimetro localmente finito, Ann. Scuola No Sup. Pisa 18 (1964), 27-56 (1964) | MR 0165073

Miranda M. Comportamento dells successioni convergenti di frontiers minimali, Rend. Sem. Mat, Padova 38 (1967), 238-257 (1967) | MR 0222735

Morrey C. B. Jr. Multiple integrals in the calculus of variations, Springer-Verlag Berlin 1966 | MR 0202511

Reschetniyak G. On the weak convergence for vector valued measures, (in Russian), Sibirskij Mat. J. 6 (1968), 1386- (1968)

Serrin J. On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc. 101 (1961), 139-167 (1961) | MR 0138018 | Zbl 0102.04601

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) | MR 0282058 | Zbl 0181.38003

Souček J. Spaces of functions on domain $\omega $, whose $k$-th derivatives are measures defined on $\bar {\omega }$, Časopis pro pěstování matematiky 97 (1972), 10-46 (1972) | MR 0313798

Stampacchia G. Equations elliptiques du second ordre à coefficients discontinus, Sem. de Math. Montréal. Les presses de l'Univ. (1966) (1966) | MR 0251373 | Zbl 0151.15501