Calculus of Variations and Geometric Measure Theory
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L. Brasco - M. Squassina

Optimal solvability for a nonlocal problem at critical growth

created by brasco on 04 May 2017


Submitted Paper

Inserted: 4 may 2017
Last Updated: 4 may 2017

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


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