Bubbling location for $F$-harmonic maps and Inhomogeneous Landau-Lifshitz equations
| dc.creator | Li, Yuxiang | |
| dc.creator | Wang, Youde | |
| dc.date | 2005-04-25 | |
| dc.date | 2005-08-08 | |
| dc.date.accessioned | 2026-07-07T05:19:24Z | |
| dc.date.available | 2026-07-07T05:19:24Z | |
| dc.description | Let $f$ be a positive smooth function on a close Riemann surface (M,g). The $f-energy$ of a map $u$ from $M$ to a Riemannian manifold $(N,h)$ is defined as $$E_f(u)=\int_Mf|\nabla u|^2dV_g.$$ In this paper, we will study the blow-up properties of Palais-Smale sequences for $E_f$. We will show that, if a Palais-Smale sequence is not compact, then it must blows up at some critical points of $f$. As a sequence, if an inhomogeneous Landau-Lifshitz system, i.e. a solution of $$u_t=u\timesτ_f(u)+τ_f(u),\s u:M\to S^2$$ blows up at time $\infty$, then the blow-up points must be the critical points of $f$. | |
| dc.description | 13pages | |
| dc.identifier | https://arxiv.org/abs/math/0504502 | |
| dc.identifier | http://arxiv.org/abs/math/0504502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75007 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q60;58E20 | |
| dc.title | Bubbling location for $F$-harmonic maps and Inhomogeneous Landau-Lifshitz equations | |
| dc.type | text |