Sixth Mississippi State Conference on Differential Equations and Computational Simulations. Electronic Journal of Differential Equations, Conference 15 (2007), pp. 377-385. Title: Revisiting the method of sub- and supersolutions for nonlinear elliptic problems Author: Klaus Schmitt (Univ. of Utah, Salt Lake City, UT, USA) Abstract: We discuss some of the historical highlights of the theory of sub- supersolutions for boundary value problems for nonlinear elliptic equations and variational inequalities. Published February 28, 2007. Math Subject Classifications: 35B45, 35J65, 35J60. Key Words: Sub- and supersolutions; general boundary conditions; variational inequalities