论文标题
（高频） - 内部和可压缩弹性中P-GROWTH功能的唯一标准
(High frequency)-uniqueness criteria for p-growth functionals in in- and compressible elasticity
论文作者
论文摘要
在这项工作中，我们的主要目标是建立各种（高频）唯一性标准。最初，我们考虑在适当的一类度量的MAPS $ u上考虑$ p-$ dirichlet类型功能：B \ subset \ Mathbb {r}^2 \ mapsto \ mathbb {r}^2，$ $ b $是单位磁盘，并受到适当的边界条件。在第二部分中，我们专注于非常相似的情况，只能通过适当的$ p-$生长polyconvex函数交换以前的功能，并允许地图是任意的。在这两种情况下，都特别强调高压情况，在这种情况下，只能获得仅包含足够高傅立叶模型的变化的子类的唯一性。
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 $u: B\subset \mathbb{R}^2 \mapsto \mathbb{R}^2,$ $B$ 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.
