Existence conjecture for energy-minimal diffeomorphisms of multiply connected domains
Let Ω\OmegaΩ and Ω∗\Omega^*Ω∗ be bounded kkk-connected domains in C\mathbb{C}C, where k⩾2k\geqslant 2k⩾2. Suppose that Ω⊂Ω∗\Omega\subset\Omega^*Ω⊂Ω∗ and that the inclusion is a homotopy equiva…