INFINITELY MANY SOLUTIONS FOR A FRACTIONAL p-KIRCHHOFF TYPE EQUATION ON THE HEISENBERG

INFINITELY MANY SOLUTIONS FOR A FRACTIONAL p-KIRCHHOFF TYPE EQUATION ON THE HEISENBERG

In this work, we deal with the fractional p-Kirchhoff type equation with critical growth on the Heisenberg group, we make a truncation on the function M and define an auxiliary problem. By using Krasnoselskii's genus theory, we obtain that the auxiliary problem has infinitely many nontrivial solutions. With aid of the size of λ, we prove that each solution of the auxiliary problem corresponds to a solution of the original problem.

(0)

(0)

(0)

(0)