On existence and concentration of solutions for Hamiltonian systems involving fractional operator with critical exponential growth

Abstract

This paper is concerned with the existence and concentration of ground state solutions for the following class of fractional Schrödinger systemwhere 𝐻 has exponential critical growth, 𝜆 is a positive parameter and 𝑎(𝑥) has a potential well with intThe proof relies on variational methods and combines truncation arguments and the Moser iteration technique.