3 problems

Unnecessity conjecture. Assumption (A) is completely unnecessary for the results of this paper. This concerns the construction and analysis of the Bergman projection and Bergman ke…

Periodic Green's function conjecture. For each $\alpha\in(2,4]$, there exists $c_0>0$ such that, for $c\in(0,c_0)$, $G_{\mathbb{T}}$ is even, strictly positive on $\mathbb{T}$, and…

Let $c^{\star}$ be the critical-speed function and let $w$ parametrize the boundary of the Wulff shape associated with $c^{\star}$. Assume that $c^{\star}$ is smooth, as is the cas…