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

Commentationes Mathematicae Universitatis Carolinae (1971)

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

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topSouček, 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- R. FINN, Remark relevant to minimal surfaces and to surface of prescribed mean curvature, Journal d'Analyse Mathematique 14 (1965), 139-160. (1965) MR0188909
- J. SOUČEK, The spaces of the functions on domain $\Omega $, whose k-th derivatives are measure, defined on $\overline{\Omega}$, - to appear in Czech. Math. Journ. MR0313798
- 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.
- J. C. C. NITSCHE, On new results in the theory of minimal surfaces, Bull. Amer. math. Soc. 71 (1965), 195-270. (1965) Zbl0135.21701MR0173993
- 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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