摘要

Based on Eke land's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem -(a + b) integral(Omega)vertical bar del u vertical bar(2)dx)Delta u = b mu u(3) + f(x,u) + h(x), in Omega u = 0, on partial derivative Omega. Where the parameter mu is sufficiently close, from the left, to the first nonlinear eigenvalue.