In this talk a general framework allowing for L-infinity estimates for gradients of solutions to a class of nonlinear PDE problems, whose prototype is the p-Laplacian, will be presented. The main goal of the developed approach is to capture and characterize the blow up of the electric field in a two-phase high contrast material consisting of a matrix with two injected particles close to touching. The described approach is of the asymptotic nature in contrast to existing methods handling linear problems. More specifically, the quantities of interest are obtained asymptotically as the small parameter of the problem, which is the order of the distance between neighboring particles, is close to zero. Such an approach provides a basis for developing new techniques to attack the nonlinear case, in which key features of the class of problems of interest are taken into account, namely: the small distance between particles, and high contrast in mechanical properties of composite constituents. Those specific features lead to localization of the so-called high concentration zones where gradients of solutions to the corresponding problems exhibit singular behavior.