Geodesic
The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains
Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 4, pp. 723-736.

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Classification : 35D05, 35J25, 35J60, 35J67, 49F10, 49Q05, 53A10 
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     author = {Sou\v{c}ek, Vladim{\'\i}r},
     title = {The nonexistence of a weak solution of {Dirichlet's} problem for the functional of minimal surface on nonconvex domains},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {723--736},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {1971},
     mrnumber = {0296786},
     zbl = {0256.35030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1971__12_4_a6/}
}
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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, Tome 12 (1971) no. 4, pp. 723-736. http://geodesic.mathdoc.fr/item/CMUC_1971__12_4_a6/