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Claremont Colleges

Semipositone

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Radial Solutions To Semipositone Dirichlet Problems, Ethan Sargent Jan 2019

Radial Solutions To Semipositone Dirichlet Problems, Ethan Sargent

HMC Senior Theses

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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