Asymptotic Morse theory for the equation $\D v = 2 v_x \wedge v_y$
| dc.creator | Chanillo, S. | |
| dc.creator | Malchiodi, A. | |
| dc.date | 2002-05-10 | |
| dc.date.accessioned | 2026-07-07T04:48:24Z | |
| dc.date.available | 2026-07-07T04:48:24Z | |
| dc.description | Given a smooth bounded domain $Ø\subseteq \R^2$, we consider the equation $\D v = 2 v_x \wedge v_y$ in $Ø$, where $v: Ø\to \R^3$. 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. | |
| dc.identifier | https://arxiv.org/abs/math/0205106 | |
| dc.identifier | http://arxiv.org/abs/math/0205106 | |
| dc.identifier | Comm. in Analysis and Geometry, vol. 13(1)(2005), 187-251. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64035 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.title | Asymptotic Morse theory for the equation $\D v = 2 v_x \wedge v_y$ | |
| dc.type | text |