%0 Journal Article %T Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form %A Cristian Enache %J Boundary Value Problems %D 2006 %I Springer %R 10.1155/bvp/2006/64543 %X For a class of nonlinear elliptic boundary value problems in divergence form, we construct some general elliptic inequalities for appropriate combinations of u(x) and | бщ u|2, where u(x) are the solutions of our problems. From these inequalities, we derive, using Hopf's maximum principles, some maximum principles for the appropriate combinations of u(x) and | бщ u|2, and we list a few examples of problems to which these maximum principles may be applied. %U http://dx.doi.org/10.1155/BVP/2006/64543