学术活动
Monotonicity formula and its application to an elliptic equation with negative exponent
2014-06-17
来源:科技处 点击次数:主讲人:周风 教授(华东师范大学数学系、华东偏微分方程中心)
时 间:2014年6月17日(周二)9:30-10:30
地 点:必赢76net线路官网北二区教学楼一层122会议室
摘 要:We will talk about a monotonicity formula for stable solutions of a class of weighted semilinear elliptic equations with "negative exponent". Unlike to the positive exponent case, we will see that both the monotonicity formula and the sub-harmonicity play crucial roles in classifying positive finite Morse index solutions of the equations with negative exponent and obtaining sharp results for their asymptotic behaviors. This is a joint work with Zongming Guo.