GROUND STATES FOR FRACTIONAL MAGNETIC OPERATORS

作者:d'Avenia, Pietro*; Squassina, Marco
来源:ESAIM: Control, Optimisation and Calculus of Variations , 2018, 24(1): 1-24.
DOI:10.1051/cocv/2016071

摘要

We study a class of minimization problems for a nonlocal operator involving an external magnetic potential. The notions are physically justified and consistent with the case of absence of magnetic fields. Existence of solutions is obtained via concentration compactness.

  • 出版日期2018-1