A blow-up phenomenon for a non-local Liouville-type equation
arXiv:2011.01883
Abstract
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.
17 pages, accepted on J. Anal. Math