Geodesic
Gradient estimates and Harnack inequalities for solutions to the minimal surface equation
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 1, pp. 27-30

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A gradient estimate for solutions to the minimal surface equation can be proved by Partial Differential Equations methods, as in [2]. In such a case, the oscillation of the solution controls its gradient. In the article presented here, the estimate is derived from the Harnack type inequality established in [1]. In our case, the gradient is controlled by the area of the graph of the solution or by the integral of it. These new results are similar to the one announced by Ennio De Giorgi in [3]. 
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     author = {Miranda, Mario},
     title = {Gradient estimates and {Harnack} inequalities for solutions to the minimal surface equation},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {27--30},
     publisher = {mathdoc},
     volume = {Ser. 9, 11},
     number = {1},
     year = {2000},
     zbl = {0991.49028},
     mrnumber = {MR1797051},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_1_a3/}
}
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Miranda, Mario. Gradient estimates and Harnack inequalities for solutions to the minimal surface equation. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 1, pp. 27-30. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_1_a3/