@article {2005, title = {Asymptotic Morse theory for the equation $\\\\Delta v=2v\\\\sb x\\\\wedge v\\\\sb y$}, journal = {Comm. Anal. Geom. 13 (2005) 187-252}, number = {arXiv.org;math/0205106v1}, year = {2005}, publisher = {International Press}, abstract = {Given a smooth bounded domain ${\\\\O}\\\\subseteq \\\\R^2$, we consider the equation $\\\\D v = 2 v_x \\\\wedge v_y$ in $\\\\O$, where $v: {\\\\O}\\\\to \\\\R^3$. We prescribe Dirichlet boundary datum, and consider the case in which this datum converges to zero. An asymptotic study of the corresponding Euler functional is performed, analyzing multiple-bubbling phenomena. This allows us to settle a particular case of a question raised by H. Brezis and J.M. Coron.}, url = {http://hdl.handle.net/1963/3533}, author = {Sagun Chanillo and Andrea Malchiodi} }