Ivan Ventura

Harvey Mudd College Mathematics 2007

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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.