Existence and concentration of ground state solutions for Kirchhoff-type fractional Hamiltonian systems

We study the existence and asymptotic behavior of ground state solutions for a class of Kirchhoff-type fractional Hamiltonian systems. By constructing a suitable fractional space, under the condition that the symmetric matrix L(t) satisfies the positive semi-definite condition, a new embedding theorem and several important inequalities are given. Using the critical point theory, the existence and concentration results of the ground state solution of the above system are obtained.