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arXiv · 2011.01883

A blow-up phenomenon for a non-local Liouville-type equation

Luca Battaglia·Maria Medina·Angela Pistoia
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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.

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Luca Battaglia, Maria Medina, Angela Pistoia. 2020-11-03. A blow-up phenomenon for a non-local Liouville-type equation. https://arxiv.org/abs/2011.01883

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