Special Session 123: New trends in elliptic and parabolic PDEs
Blow up phenomena of mean field type equations
Yeyao Hu
Central South University Peoples Rep of China
Co-Author(s): Bartolucci, Cheng, Gu, Gui, Jevnikar, Li, Xie and Yang
Abstract:
We constructed blow-up solutions of mean field type equations on degenerate surfaces, including flat torus and standard sphere in dimension two. More recently, we built the blow-up solutions of mean field equation on four dimensional standard sphere, basing on point configurations inherited from the dimension two. New progress towards the planar Neumann problem will also be mentioned, particularly the construction of boundary and interior bubble assemblies.