| Title:
|
Functionals with linear growth in the calculus of variations. II. (English) |
| Author:
|
Giaquinta, Mariano |
| Author:
|
Modica, Giuseppe |
| Author:
|
Souček, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
157-172 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D05 |
| MSC:
|
35D10 |
| MSC:
|
35J20 |
| MSC:
|
35J60 |
| MSC:
|
49J10 |
| MSC:
|
53A10 |
| idZBL:
|
Zbl 0409.49007 |
| idMR:
|
MR0526154 |
| . |
| Date available:
|
2008-06-05T21:00:44Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105910 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105909 |
| . |
| Reference:
|
[1] ANZELLOTTI G., GIAQUINTA M.: Funzioni BV e tracce.To appear. Zbl 0432.46031, MR 0555952 |
| Reference:
|
[2] ANZELLOTTI G., GIAQUINTA M., MASSARI U., MODICA G., PEPE L.: Note sul problema di Plateau.Editrice tecnico scientifica, Pisa (1974) |
| Reference:
|
[3] BERNSTEIN S.: Sur les équations du calcul des variations.Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485 MR 1509153 |
| Reference:
|
[4] FEDERER H.: Some properties of distributions....Bull. Amer. Math. Soc. vol 74 n. 1 (1968) Zbl 0163.36503, MR 0218893 |
| Reference:
|
[5] FEDERER H.: Geometric measure theory.Springer-Verlag, Berlin (1969) Zbl 0176.00801, MR 0257325 |
| Reference:
|
[6] GAGLIARDO E.: Caratterizzazione delle tracce sulla frontiera ....Rend. Sem. Mat. Univ. Padova 27(1967), 284-305 MR 0102739 |
| Reference:
|
[7] GERHARDT C.: On the regularity of solutions to variational problems in BV$(\omega )$.Math. Z. 149 (1976), 281-286 Zbl 0317.49052, MR 0417887 |
| Reference:
|
[8] GIAQUINTA M.: Sul problema di Dirichlet per le superfici a curvatura media assegnata.Symposia Math. 14 (1973) MR 0420400 |
| Reference:
|
[9] GIAQUINTA M.: On the Dirichlet problem for surfaces of prescribed mean curvature.Manuscripta Math. 12 (1974), 73-86 Zbl 0276.35038, MR 0336532 |
| Reference:
|
[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 |
| Reference:
|
[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 0482506 |
| Reference:
|
[12] JENKINS H., SERRIN J.: The Dirichlet problem for the minimal surface equation in higher dimensions.J. Heine Ang. Math. 229 (1968), 170-187 Zbl 0159.40204, MR 0222467 |
| Reference:
|
[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 Zbl 0193.07202, MR 0265745 |
| Reference:
|
[14] MIRANDA M.: Distribuzioni aventi derivate misure ed insiemi di perimetro localmente finito.Ann. Scuola No Sup. Pisa 18 (1964), 27-56 MR 0165073 |
| Reference:
|
[15] MIRANDA M.: Comportamento dells successioni convergenti di frontiers minimali.Rend. Sem. Mat, Padova 38 (1967), 238-257 MR 0222735 |
| Reference:
|
[16] MORREY C. B. jr.: Multiple integrals in the calculus of variations.Springer-Verlag Berlin 1966 MR 0202511 |
| Reference:
|
[17] RESCHETNIYAK G.: On the weak convergence for vector valued measures.(in Russian), Sibirskij Mat. J. 6 (1968), 1386- |
| Reference:
|
[18] SERRIN J.: On the definition and properties of certain variational integrals.Trans. Amer. Math. Soc. 101 (1961), 139-167 Zbl 0102.04601, MR 0138018 |
| Reference:
|
[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 Zbl 0181.38003, MR 0282058 |
| Reference:
|
[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 0313798 |
| Reference:
|
[21] STAMPACCHIA G.: Equations elliptiques du second ordre à coefficients discontinus.Sem. de Math. Montréal. Les presses de l'Univ. (1966) Zbl 0151.15501, MR 0251373 |
| . |
