Date of Award
5-2021
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
First Advisor
Kanishka Perera
Second Advisor
Ugur Abdulla
Third Advisor
Jean Perez
Fourth Advisor
Munevver Subasi
Abstract
We study a class of critical Kirchhoff problems with a general nonlocal term. The main difficulty here is the absence of a closed-form formula for the compactness threshold. First we obtain a variational characterization of this threshold level. Then we prove a series of existence and multiplicity results based on this variational characterization.
Recommended Citation
Hasani, Erisa, "The Brezis-Nirenberg Problem for the Generalized Kirchhoff Equation" (2021). Theses and Dissertations. 942.
https://repository.fit.edu/etd/942