Solvability of periodic boundary value problem for fractional p-Laplacian equation

摘要

In this paper, we establish a continuation theorem for the fractional p-Laplacian operator with periodic boundary conditions. And then, we apply this continuation theorem to the study of periodic boundary value problem for fractional p-Laplacian equation. Under certain nonlinear growth condition of the nonlinearity, we obtain a new result on the existence of solutions.