2 problems

Let $n \geq 3$ and let $\Omega \subset \mathbb{R}^n$ be a bounded Lipschitz domain. Suppose that $\gamma_1,\gamma_2 \in W^{1,n}(\Omega)$ are uniformly elliptic, and let…

Higher-dimensional nonuniqueness conjecture. The map $\gamma\mapsto\Lambda_\gamma$ is not one-to-one in higher dimensions, in particular for $N=3$.