no. 2
On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions
Annales de l'I.H.P. Analyse non linéaire, Tome 10 (1993) no. 2, pp. 191-214. 
@article{AIHPC_1993__10_2_191_0,
     author = {Duzaar, Frank},
     title = {On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {191--214},
     publisher = {Gauthier-Villars},
     volume = {10},
     number = {2},
     year = {1993},
     mrnumber = {1220033},
     zbl = {0808.49036},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_1993__10_2_191_0/}
}
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Duzaar, Frank. On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions. Annales de l'I.H.P. Analyse non linéaire, Tome 10 (1993) no. 2, pp. 191-214. http://archive.numdam.org/item/AIHPC_1993__10_2_191_0/

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