STRONG SOLUTION FOR AN ELASTIC-PLASTIC PLATE

Given a regular bounded open set OMEGA subset-of R2, lambda, mu > 0 and g is-an-element-of L(q)(OMEGA) with q > 2, we prove, under compatibility and safe load conditions on g, the existence of a minimizing pair for the functional F(K, u) = integral(OMEGA\K) \D2u\2 dy + lambda.H-1(K and OMEGA) + mu integral(K and OMEGA) \[Du]\d.H-1 - integral(OMEGA) gu dy, over closed sets K subset-of R2 and functions u is-an-element-of C0(OMEGABAR) and C2(OMEGA\K); here \[Du]\ denotes the jump of Du across K and H-1 is the 1-dimensional Hausdorff measure.