The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains

Vladimír Souček

Commentationes Mathematicae Universitatis Carolinae (1971)

  • Volume: 012, Issue: 4, page 723-736
  • ISSN: 0010-2628

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Souček, Vladimír. "The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains." Commentationes Mathematicae Universitatis Carolinae 012.4 (1971): 723-736. <http://eudml.org/doc/16461>.

@article{Souček1971,
author = {Souček, Vladimír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {723-736},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains},
url = {http://eudml.org/doc/16461},
volume = {012},
year = {1971},
}

TY - JOUR
AU - Souček, Vladimír
TI - The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1971
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 012
IS - 4
SP - 723
EP - 736
LA - eng
UR - http://eudml.org/doc/16461
ER -

References

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  1. R. FINN, Remark relevant to minimal surfaces and to surface of prescribed mean curvature, Journal d'Analyse Mathematique 14 (1965), 139-160. (1965) MR0188909
  2. J. SOUČEK, The spaces of the functions on domain Ω , whose k-th derivatives are measure, defined on Ω ¯ , - to appear in Czech. Math. Journ. MR0313798
  3. J KAČÚR J. NEČAS J. SOUČEK, The ultraweak solutions of variational problems over spaces W 1 ( k ) of the types of nonparametric minimal surface, - to appear. 
  4. J. C. C. NITSCHE, On new results in the theory of minimal surfaces, Bull. Amer. math. Soc. 71 (1965), 195-270. (1965) Zbl0135.21701MR0173993
  5. H. JENKINS J. SERRIN, Variational problems of minimal surface type II., Arch. Rat. Mech. Anal. 21 (1966), 321-342. (1966) MR0190811

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