Asymptotic Morse theory for the equation $\D v = 2 v_x \wedge v_y$

S. Chanillo, A. Malchiodi

Given a smooth bounded domain $Ø\subseteq {\mathbb{R}}^2$, we consider the equation $\D v = 2 v_x \wedge v_y$ in $Ø$, where $v:Ø\to {\mathbb{R}}^3$. We prescribe Dirichlet boundary datum, and conside…