论文标题
非本地liouville型方程的爆炸现象
A blow-up phenomenon for a non-local Liouville-type equation
论文作者
论文摘要
我们考虑一个非本地liouville方程,该方程与圆上的大地曲率处方相对应。我们建立了一个解决方案家族,该家族在满足某些通用假设的情况下,在规定曲率功能的谐波扩展的临界点爆炸。
We consider a non-local Liouville equation corresponding to the prescription of the geodesic curvature on the circle. We build a family of solutions which blow up at a critical point of the harmonic extension of the prescribed curvature function, provided some generic assumptions are satisfied.