3 problems

Let $\mathcal{E}: \operatorname{Sym}^{++}(3) \to \operatorname{Sym}(3)$ be a spatial strain tensor with strongly monotone scale function $e: \mathbb{R}^+ \to \mathbb{R}$. For a cor…

Let $X\subset[0,1]\cap\mathbb Q$ be such that … for all $z$, and let $\theta^\ast\in X$ be an energy well satisfying … for some $z$. Non differentiability at the energy wells. The…

Let $G$ be a subgroup of $\mathrm{SO}(3)$, let $\mathbb{T}$ be a tensor space with its $G$-representation, and let $\mathrm{C}\in\left[\mathbb{T}\otimes^S\mathbb{T}\right]^G$. Writ…