A blow-up phenomenon for a non-local Liouville-type equation
Analysis of PDEs
2021-12-10 v3
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.
Keywords
Cite
@article{arxiv.2011.01883,
title = {A blow-up phenomenon for a non-local Liouville-type equation},
author = {Luca Battaglia and Maria Medina and Angela Pistoia},
journal= {arXiv preprint arXiv:2011.01883},
year = {2021}
}
Comments
17 pages, accepted on J. Anal. Math