Local Boundedness for Minimizers of Some Polyconvex Integrals

We give a regularity result for local minimizers of a special class of polyconvex functionals. Under some structure assumptions on the energy density, we prove that local minimizers u are locally bounded. For each component of u, we first prove a Caccioppoli's inequality and then apply De Giorgi's iteration method to get the boundedness of . Our result can be applied to the polyconvex integral Equation ID=Equa MediaObject MediaObject Equation with suitable .