Geometric measure theory and differential inclusions

In this paper we consider Lipschitz graphs of functions which are stationary points strictly polyconvex energies. Such can be thought as integral currents, resp. varifolds, for some elliptic integrands. The regularity theory the latter is a widely open problem, in particular no counterpart classical Allard’s theorem known. We address issue from point view differential inclusions and show that relevant ones do not contain class laminates used [23] [26] to construct nonregular solutions. Our result thus an indication type might valid general conclude by listing series questions concerning