| Title:
|
Functions of measures and a variational problem of the type of the nonparametric minimal surface (English) |
| Author:
|
Kačur, Jozef |
| Author:
|
Souček, Jiří |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
29 |
| Issue:
|
4 |
| Year:
|
1979 |
| Pages:
|
347-380 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49J45 |
| MSC:
|
49Q20 |
| idZBL:
|
Zbl 0417.49052 |
| idMR:
|
MR562007 |
| . |
| Date available:
|
2009-09-25T09:03:48Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132422 |
| . |
| Reference:
|
[1] NEČAS J.: Les méthodes directes on théorie des équations elliptiques.Prague 1967. |
| Reference:
|
[2] MORREY, Ch. B., Jr.: Multiple Integrals in the Calculus of Variations.Springer 1966. Zbl 0142.38701, MR 2492985 |
| Reference:
|
[3] FEDERER H.: Geometric Measure Theory.Springer 1969. Zbl 0176.00801, MR 0257325 |
| Reference:
|
[4] BOURBAKI N.: Integration.Paris. Zbl 1182.28002 |
| Reference:
|
[5] SERRIN J.: On the definition and properties of certain variational integrals.Trans. Amer. Math. Soc., 101, 139-167, 1961. Zbl 0102.04601, MR 0138018 |
| Reference:
|
[6] GAGLIARDO E.: Caratterizzazioni delle trace sulla frentiera relative ad aleune clossi di funzioni in n-variabili.Rend. Sem. Mat. Univ. Padova, 27, 1957, 284-305. MR 0102739 |
| Reference:
|
[7] SOUČEK J.: Spaces of functions on domain $\Omega$, whose $k$-th derivatives are measures defined on $\Omega$.Čas. pro pěst. Mat., 97, 1972, 10-46. MR 0313798 |
| Reference:
|
[8] KAČUR J., SOUČEK J.: Direct methods in the calculus of variations over non-reflexive spaces with functional of non-parametric area type including k-th derivatives.(To appear.) 379 |
| Reference:
|
[9] NIETZSCHE J. C. C.: On new results in the theory of minimal surfaces.Bull. Amer. Math. Soc. 1965, 195-270. MR 0173993 |
| . |
