Ethan Sargent

Thesis Advisor: Alfonso Castro, Professor of Mathematics at Harvey Mudd College

Second Reader: Lecturer at Chongqing Technology and Business University

Radial Solutions to Semipositone Dirichlet Problems

We study radial solutions to a classical, quasilinear second order boundary value problem, in the semipositone case where the nonlinearity is monotonically increasing but not necessarily positive at the origin. We use Pohozaev identities, energy arguments, and bifurcation from a simple eigenvalue.