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Radial Solutions To Semipositone Dirichlet Problems, Ethan Sargent
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.