学术活动
Local analysis for solutions of fractional nonlinear elliptic equations with isolated singularities
2014-11-21
来源:科技处 点击次数:主讲人:熊金钢博士 (北京国际数学中心)
时 间:11月21日(周五)下午 4:00-5:00
地 点:必赢76net线路官网北二区教学楼 517教室
摘 要:We will talk about the local behaviors of nonnegative local solutions of fractional order semi-linear equations $(-\Delta )^\sigma u=u^{\frac{n+2\sigma}{n-2\sigma}}$ with an isolated singularity, where $\sigma\in (0,1)$. We prove that all the solutions are asymptotically radially symmetric. When $\sigma =1$, these have been proved in \cite{CGS} by Caffarelli, Gidas and Spruck.
This is joint work with L. Caffarelli, T. Jin and Y. Sire.