Multiple positive and sign-changing solutions for a class of Kirchhoff equations

This paper is concerned with the existence of multiple non-radial positive and sign-changing solutions for the following Kirchhoff equation: -(a + b integral(R3) vertical bar del u vertical bar(2)) Delta u + (1 + lambda Q(x))u = vertical bar u vertical bar(p-2)u, in R-3, where a, b > 0 are constants, p is an element of (2, 6), A is a parameter, and Q(x) is a potential function. Under the assumption on Q(x) with exponential decay at infinity, we construct multi-peak positive and sign-changing solutions for problem (0.1) as lambda -> infinity (or 0), where the peaks concentrate at infinity.