2 papers
math.AP2021
On the critical -Kirchhoff equation
Erisa Hasani, Kanishka Perera
We study a nonlocal elliptic equation of -Kirchhoff type involving the critical Sobolev exponent. First we give sufficient conditions for the (PS) condition to hold. Then we pro…
math.AP2020
On the compactness threshold in the critical Kirchhoff equation
Erisa Hasani, Kanishka Perera
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…