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.
Brasco, L., Squassina, M., Optimal solvability for a nonlocal problem at critical growth, <<JOURNAL OF DIFFERENTIAL EQUATIONS>>, 2018; 264 (3): 2242-2269. [doi:10.1016/j.jde.2017.10.019] [http://hdl.handle.net/10807/203977]
Optimal solvability for a nonlocal problem at critical growth
Squassina, Marco
2018
Abstract
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.
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