%0 Journal Article
%T A duality result between the minimal surface equation and the maximal surface equation
%A AL¨ªAS LUIS J.
%A PALMER BENNETT
%J Anais da Academia Brasileira de Ci¨ºncias
%D 2001
%I Academia Brasileira de Ci¨ºncias
%X In this note we show how classical Bernstein's theorem on minimal surfaces in the Euclidean space can be seen as a consequence of Calabi-Bernstein's theorem on maximal surfaces in the Lorentz-Minkowski space (and viceversa). This follows from a simple but nice duality between solutions to their corresponding differential equations.
%K Minimal surface equation
%K Maximal surface equation
%K Bernstein's theorem
%K Calabi-Bernstein's theorem
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200002