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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.