学术活动
Multi-bump solutions of semilinear elliptic equations on lattices in Euclidean space
2013-09-23
来源:科技处 点击次数:主讲人:李岩岩 教授(美国Rutgers大学数学系)
时 间:9月23日(周一)16:00-17:00
地 点:威尼斯欢乐娱人城1099北二区教学楼 516 教室
摘 要: Abstract: We consider some semi-linear elliptic equations on n-dimensional Euclidean space with critical exponent and periodic coefficients. We establish the existence of multi-bump solutions where the centers of bumps can be placed in some lattices, including infinite lattices, in k-dimensional subspace if 2k is smaller than n-2. On the other hand, we prove that if 2k is not smaller than n-2, no such solutions exist. This is a joint work with Juncheng Wei and Haoyuan Xu.