We consider the non-local Liouville equation (-delta)(1/2) u = h(epsilon)e(u) - 1 in S-1,corresponding to the prescription of the geodesic curvature on the circle. We build a family of solutions which blow up, when h epsilon approaches a function h(epsilon) as epsilon -> 0, at a critical point of the harmonic extension of h provided some generic assumptions are satisfied.
展开▼
