2 problems

Global median value conjecture for strictly convex domains. There exists a unique continuous solution $u$ with $u=g$ on $\partial\Omega$, and this solution satisfies $u=u^{*}$. Thi…

Let $\Omega\subset\mathbb{R}^{2}$ be a domain, let $R$ be a continuous function satisfying … and consider the global median value property … A function of least gradient is a funct…