3 problems

Consider the branched transport energy functional referred to as … , then $\mu_{\pm T}$ is of dimension $8/5$. This conjecture predicts the Hausdorff dimension of the boundary trac…

Let $\Omega$ be the domain, let $f=f^+-f^-$ be the prescribed source term, and let $(\mu(t),u(t))$ solve the extended dynamic Monge–Kantorovich equations with initial datum $\mu_0$…

Let $A$ be an optimal unit-volume set for irrigation from a single source at the origin in branched transport, and let $\beta=d\left(\alpha-\left(1-1/d\right)\right)\in(0,1)$, wher…