Alfonso Castro's Abstract


Claremont Mathematics Weekend


Sponsored by Claremont Colleges


January 30 - 31, 2016


Speaker: Alfonso Castro
Title: Infinitely Many Solutions to a Semilinear Laplace-Beltrami Equation

We prove the existence of infinitely many rotationally symmetric solutions to a semilinear Laplace-Beltrami equation on spheres. The techniques are one-dimensional arguments that include phase plane analysis and a Pohozaev identity. The talk is based on joint paper with Emily Fischer (HMC-14) published in the Canadian Mathematics Bulletin (2015).