(High Frequency-) Uniqueness Criteria for p-Growth Functionals in in- and Compressible Elasticity

In this work our main objective is to establish various (high frequency-) uniqueness criteria. Initially, we consider p-Dirichlet type functionals on a suitable class of measure preserving maps u : B C R-2 -> R-2, B being the unit disk, and subject to suitable boundary conditions. In the second part we focus on a very similar situations only exchanging the previous functionals by a suitable class of p-growing polyconvex functionals and allowing the maps to be arbitrary.In both cases a particular emphasis is laid on high pressure situations, where only uniqueness for a subclass, containing solely of variations with high enough Fourier-modes, can be obtained.