Functionals with linear growth in the calculus of variations. II
Commentationes Mathematicae Universitatis Carolinae, Tome 20 (1979) no. 1, pp. 157-172 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 35D05, 35D10, 35J20, 35J60, 49J10, 53A10
@article{CMUC_1979_20_1_a13,
     author = {Giaquinta, Mariano and Modica, Giuseppe and Sou\v{c}ek, Ji\v{r}{\'\i}},
     title = {Functionals with linear growth in the calculus of variations. {II}},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {157--172},
     year = {1979},
     volume = {20},
     number = {1},
     mrnumber = {0526154},
     zbl = {0409.49007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a13/}
}
TY  - JOUR
AU  - Giaquinta, Mariano
AU  - Modica, Giuseppe
AU  - Souček, Jiří
TI  - Functionals with linear growth in the calculus of variations. II
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1979
SP  - 157
EP  - 172
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a13/
LA  - en
ID  - CMUC_1979_20_1_a13
ER  - 
%0 Journal Article
%A Giaquinta, Mariano
%A Modica, Giuseppe
%A Souček, Jiří
%T Functionals with linear growth in the calculus of variations. II
%J Commentationes Mathematicae Universitatis Carolinae
%D 1979
%P 157-172
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a13/
%G en
%F CMUC_1979_20_1_a13
Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří. Functionals with linear growth in the calculus of variations. II. Commentationes Mathematicae Universitatis Carolinae, Tome 20 (1979) no. 1, pp. 157-172. http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a13/

[1] ANZELLOTTI G., GIAQUINTA M.: Funzioni BV e tracce. To appear. | MR | Zbl

[2] ANZELLOTTI G., GIAQUINTA M., MASSARI U., MODICA G., PEPE L.: Note sul problema di Plateau. Editrice tecnico scientifica, Pisa (1974)

[3] BERNSTEIN S.: Sur les équations du calcul des variations. Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485 | MR

[4] FEDERER H.: Some properties of distributions... Bull. Amer. Math. Soc. vol 74 n. 1 (1968) | MR | Zbl

[5] FEDERER H.: Geometric measure theory. Springer-Verlag, Berlin (1969) | MR | Zbl

[6] GAGLIARDO E.: Caratterizzazione delle tracce sulla frontiera ... Rend. Sem. Mat. Univ. Padova 27(1967), 284-305 | MR

[7] GERHARDT C.: On the regularity of solutions to variational problems in BV$(\omega )$. Math. Z. 149 (1976), 281-286 | MR | Zbl

[8] GIAQUINTA M.: Sul problema di Dirichlet per le superfici a curvatura media assegnata. Symposia Math. 14 (1973) | MR

[9] GIAQUINTA M.: On the Dirichlet problem for surfaces of prescribed mean curvature. Manuscripta Math. 12 (1974), 73-86 | MR | Zbl

[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

[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 | MR

[12] JENKINS H., SERRIN J.: The Dirichlet problem for the minimal surface equation in higher dimensions. J. Heine Ang. Math. 229 (1968), 170-187 | MR | Zbl

[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 | MR | Zbl

[14] MIRANDA M.: Distribuzioni aventi derivate misure ed insiemi di perimetro localmente finito. Ann. Scuola No Sup. Pisa 18 (1964), 27-56 | MR

[15] MIRANDA M.: Comportamento dells successioni convergenti di frontiers minimali. Rend. Sem. Mat, Padova 38 (1967), 238-257 | MR

[16] MORREY C. B. jr.: Multiple integrals in the calculus of variations. Springer-Verlag Berlin 1966 | MR

[17] RESCHETNIYAK G.: On the weak convergence for vector valued measures. (in Russian), Sibirskij Mat. J. 6 (1968), 1386-

[18] SERRIN J.: On the definition and properties of certain variational integrals. Trans. Amer. Math. Soc. 101 (1961), 139-167 | MR | Zbl

[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 | MR | Zbl

[20] 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 | MR

[21] STAMPACCHIA G.: Equations elliptiques du second ordre à coefficients discontinus. Sem. de Math. Montréal. Les presses de l'Univ. (1966) | MR | Zbl