TY - JOUR
T1 - Asymptotic Morse theory for the equation $\\\\Delta v=2v\\\\sb x\\\\wedge v\\\\sb y$
JF - Comm. Anal. Geom. 13 (2005) 187-252
Y1 - 2005
A1 - Sagun Chanillo
A1 - Andrea Malchiodi
AB - 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.
PB - International Press
UR - http://hdl.handle.net/1963/3533
U1 - 731
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -