EXTERNAL APPROXIMATION OF FIRST ORDER VARIATIONAL PROBLEMS VIA W^-1,p ESTIMATES

C. DAVINI

Abstract. Here is present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving W^-1,p norms obtained by Nečas and the general framework of Gamma-convergence theory.