Luo, Huxiao2022-06-082022-06-082017-07-14Luo, H. (2017). Sign-changing solutions for non-local elliptic equations. Electronic Journal of Differential Equations, 2017(180), pp. 1-15.1072-6691https://hdl.handle.net/10877/15873This article concerns the existence of sign-changing solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions, -LKu = ƒ(x, u), x ∈ Ω, u = 0, x ∈ ℝn \ Ω, where Ω ⊂ ℝn (n ≥ 2) is a bounded, smooth domain and the nonlinear term ƒ satisfies suitable growth assumptions. By using Brouwer's degree theory and Deformation Lemma and arguing as in [2], we prove that there exists a least energy sign-changing solution. Our results generalize and improve some results obtained in [27].Text15 pages1 file (.pdf)enAttribution 4.0 InternationalBrouwer's degree theorySign-changing solutionsNon-local elliptic equationsDeformation LemmaArticle