| Title | Asymptotic Morse theory for the equation $\\\\Delta v=2v\\\\sb x\\\\wedge v\\\\sb y$ |
| Publication Type | Journal Article |
| Year of Publication | 2005 |
| Authors | Chanillo, S, Malchiodi, A |
| Journal | Comm. Anal. Geom. 13 (2005) 187-252 |
| 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 |
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