In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian \t\t\t0.1{(−Δ)su−λu=f(x,u),x∈Ω,u=0,x∈Rn∖Ω,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\left \\{ \\textstyle\\begin{array}{l@{\\quad}l} (-\\Delta)^{s}u-\\lambda u=f(x,u),&x\\in\\Omega, \\\\ u=0,&x\\in\\mathbb{R}^{n}\\setminus\\Omega, \\end{array}\\displaystyle \\right . $$\\end{document} where Omegasubsetmathbb{R}^{n} (ngeq2) is a bounded smooth domain, sin(0,1), (-Delta)^{s} denotes the fractional Laplacian, λ is a real parameter, the nonlinear term f satisfies superlinear and subcritical growth conditions at zero and at infinity. When lambdaleq0, we prove the existence of a positive solution, a negative solution and a sign-changing solution by combing minimax method with invariant sets of descending flow. When lambdageq lambda_{1}^{s} (where lambda_{1}^{s} denotes the first eigenvalue of the operator (-Delta)^{s} in Ω with homogeneous Dirichlet boundary data), we prove the existence of a sign-changing solution by using a variation of linking type theorems.