Special Session 14: The recent progress on Allen-Cahn equation, Liouville equation and critical exponent equation
Organizer(s): Changfeng Gui , Wen Yang , Yeyao Hu

Parallel Session 2 :: Monday, 12/16, 12:30-14:30                  Capital Suite 6
12:30-13:00	Juncheng Wei (University of British Columbia, Canada)  Bounded Morse Index Solutions of Allen-Cahn Equation on Riemann Surfaces

13:00-13:30

Fa Peng (Beihang University, Peoples Rep of China)  Regularity and Liouville property for stable solutions to semilinear elliptic equations

13:30-14:00

Angela Pistoia (Sapienza University of Roma, Italy)  Free boundary problem and Liouville equation

14:00-14:30

Xie Weihong (Central South University, Peoples Rep of China)  Mean field type equations and the applications in Aubin-Onofri type inequalities

Parallel Session 3 :: Monday, 12/16, 14:45-16:45               Capital Suite 6
14:45-15:15	Susanna Terracini (University of Turin, Italy)  Singularly perturbed elliptic systems modeling partial separation and their free boundaries

15:15-15:45

Aleks Jevnikar (University of Udine, Italy)  On the bifurcation diagram for free boundary problems arising in plasma physics

15:45-16:15

Ali Hyder (TIFR-CAM Bangalore, India)  The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality

16:15-16:45

Lu Chen (Beijing Institute of Technology, Peoples Rep of China)  The optimal stability of geometric inequality with the dimension-dependent or order-dependent constants.

Parallel Session 5 :: Tuesday, 12/17, 8:00-10:00                 Capital Suite 6
9:00-9:30	Lei Zhang (University of Florida, USA)  Uniqueness of blowup solutions and non-degeneracy for singular Liouville equations.

9:30-10:00

Amir Moradifam (University of California at Riverside, USA)  The Sphere Covering Inequality and Applications