Calculus of Variations and Geometric Measure Theory

L. Brasco - M. Squassina

Optimal solvability for a nonlocal problem at critical growth

created by brasco on 04 May 2017
modified by squassina on 24 Oct 2017


Accepted Paper

Inserted: 4 may 2017
Last Updated: 24 oct 2017

Journal: J. Differential Equations
Pages: 21
Year: 2017


We provide optimal solvability conditions for a nonlocal minimization problem at critical growth involving an external potential function $a$. Furthermore, we get an existence and uniqueness result for a related nonlocal equation.

Keywords: Brezis-Nirenberg problem, critical growth problems, minimization problems