Qian, XiaotaoChen, Jianqing2022-07-272022-07-272017-09-22Qian, X., & Chen, J. (2017). Sign-changing solutions for elliptic equations with fast increasing weight and concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2017</i>(229), pp. 1-16.1072-6691https://hdl.handle.net/10877/15998In this article, we study the problem -div(K(x)∇u) = α(x)K(x)|u|q-2 u + b(x)K(x)|u|2*-2u, x ∈ ℝN, where 2* = 2N/(N - 2), N ≥ 3, 1 < q < 2, K(x) = exp(|x|α/4) with α ≥ 2. Under some assumptions on the potentials α(x) and b(x), we obtain a pair of sign-changing solutions of the problem via variational methods and certain estimates.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalSign-changing solutionsVariational methodsCritical problemArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.