On Brezis Open Problem 3.1

Qi Guo, Xueping Huang, Yi C. Huang +2

Let $B_1$ be the unit disk in ${\mathbb{R}}^2$. We consider the harmonic map equation $$-\Delta u=|\nabla u{|}^{2}u,$$ subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,…