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

Battaglia, Luca, Medina, Maria, Pistoia, Angela

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.

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