Harvey Mudd College Mathematics 2007
|Thesis Proposal:||Radial Solutions to Nonlinear Elliptic Boundary Value Problems|
|Senior Thesis:||Radial Solutions to an Elliptic Boundary Value Problems|
|Thesis Advisor:||Prof. Alfonso Castro|
|Second Reader:||Prof. Jon Jacobsen|
Radial Solutions to Nonlinear Elliptic Boundary Value Problems
We will attempt to establish the properties (existence, uniqueness,bifurcation, etc.) of radial solutions to elliptic boundary value problems. This is a research area that has attracted a lot of attention in the last thirty years as radial solutions play a central role in the study of regularity, concentrated compactness, and related issues for nonradial solutions.