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Full-Text Articles in Analysis
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.
Eigenvalues And Approximation Numbers, Ryan Chakmak
Eigenvalues And Approximation Numbers, Ryan Chakmak
CMC Senior Theses
While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples.