Carmona, JoseMolino, Alexis2023-05-232023-05-232023-02-17Carmona, J., & Molino, A. (2023). Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian. <i>Electronic Journal of Differential Equations, 2023</i>(16), pp. 1-10.1072-6691https://hdl.handle.net/10877/16851In this article we prove that there are no nontrivial solutions to the Dirichlet problem for the fractional Laplacian (-∆)su = ƒ(u) in Ω, u = 0 in ℝN\Ω, where Ω ⊂ ℝN (N≥1) is a bounded domain, and f is locally Lipschitz with non-positive primitive F(t) = ∫t0 ƒ(τ)dτ.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianDirichlet problemNonexistence of solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.