Geodesic
Two remarks about surfaces
Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995) 
Wilczyński, Władysław; Rzepecka, Genowefa. Two remarks about surfaces. Acta Universitatis Lodziensis. Folia Mathematica, Tome 07 (1995). http://geodesic.mathdoc.fr/item/AULFM_1995_07_a2/
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Voir la notice de l'article provenant de la source University of Lodz Repository

It is shown that among continuous functions defined on the unit square and non-decreasing with respect to each variable separately there is neither a function with the greatest nor a function with the smallest surface area.