Functions of measures and a variational problem of the type of the nonparametric minimal surface

Jozef Kačur; Jiří Souček

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 4, page 347-380
  • ISSN: 0139-9918

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Kačur, Jozef, and Souček, Jiří. "Functions of measures and a variational problem of the type of the nonparametric minimal surface." Mathematica Slovaca 29.4 (1979): 347-380. <http://eudml.org/doc/32293>.

@article{Kačur1979,
author = {Kačur, Jozef, Souček, Jiří},
journal = {Mathematica Slovaca},
keywords = {functions of measures; variational methods; minimal surface},
language = {eng},
number = {4},
pages = {347-380},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Functions of measures and a variational problem of the type of the nonparametric minimal surface},
url = {http://eudml.org/doc/32293},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Kačur, Jozef
AU - Souček, Jiří
TI - Functions of measures and a variational problem of the type of the nonparametric minimal surface
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 4
SP - 347
EP - 380
LA - eng
KW - functions of measures; variational methods; minimal surface
UR - http://eudml.org/doc/32293
ER -

References

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  1. NEČAS J., Les méthodes directes on théorie des équations elliptiques, Prague 1967. (1967) 
  2. MORREY, Ch. B., Jr., Multiple Integrals in the Calculus of Variations, Springer 1966. (1966) Zbl0142.38701MR2492985
  3. FEDERER H., Geometric Measure Theory, Springer 1969. (1969) Zbl0176.00801MR0257325
  4. BOURBAKI N., Integration, Paris. Zbl1182.28002
  5. SERRIN J., On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc., 101, 139-167, 1961. (1961) Zbl0102.04601MR0138018
  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. (1957) MR0102739
  7. SOUČEK J., Spaces of functions on domain Ω , whose k -th derivatives are measures defined on Ω , Čas. pro pěst. Mat., 97, 1972, 10-46. (1972) MR0313798
  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 
  9. NIETZSCHE J. C. C., On new results in the theory of minimal surfaces, Bull. Amer. Math. Soc. 1965, 195-270. (1965) MR0173993

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