# Meeting Details

Title: Capacity of a multiply-connected domain and nonexistence of Ginzburg-Landau minimizers with prescribed degrees on the boundary CCMA PDEs and Numerical Methods Seminar Series Volodymyr Rybalko This talk is devoted to the minimization problem for the Ginzburg-Landau functional in multiply-connected domains with prescribed degrees on the connected components of the boundary. We prove Berlyand-Mironescu's conjecture concerning nonexistence of minimizers in doubly-connected domains $A$ with ${\rm cap}(A)<\pi$.