Singular Limits in Liouville-Type Equations with Mixed Interior and Boundary Singular Sources

摘要

Motivated by the planar stationary turbulent Euler flows with the Tur-Yanovsky vortex pattern in fluid mechanics, we use the Lyapunov-Schmidt finite dimensional reduction method to prove the existence of mixed interior-boundary concentrating solutions for a class of Liouville-type equations with mixed interior and boundary singular sources.