Graduation Year

2019

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Alfonso Castro

Reader 2

Shuzhi Song

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Terms of Use for work posted in Scholarship@Claremont.

Rights Information

2019 Ethan S Sargent

Abstract

We study a Dirichlet problem, investigating existence and uniqueness for semipositone and superlinear nonlinearities. We make use of Pohozaev identities, energy arguments, and bifurcation from a simple eigenvalue.

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