Special Session 14: The recent progress on Allen-Cahn equation, Liouville equation and critical exponent equation
Bounded Morse Index Solutions of Allen-Cahn Equation on Riemann Surfaces
Juncheng Wei
University of British Columbia Canada
Co-Author(s): Yong Liu, Frank Pacard
Abstract:
We construct bounded Morse index solutions to Allen-Cahn equation on Riemann surfaces. Moreover we obtain the exact formula for the Morse index. Central to our construction is the existence of bouncing Jacobi fields.