Open Access Senior Thesis
Bachelor of Science
2020 Marcelo A Almora Rios
We show the existence of countably many non-degenerate continua of singular radial solutions to a p-subcritical, p-Laplacian Dirichlet problem on the unit ball in R^N. This result generalizes those for the 2-Laplacian to any value p and extends recent work on the p-Laplacian by considering solutions both radial and singular.
Almora RIos, Marcelo A., "Radial Singular Solutions to Semilinear Partial Differential Equations" (2021). HMC Senior Theses. 242.