Anello, Giovanni2021-08-232021-08-232021-04-20Anello, G. (2021). Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(30), pp. 1-9.1072-6691https://hdl.handle.net/10877/14427Let Ω be a bounded smooth domain in ℝN. We study the existence of positive solutions to the Dirichlet problem -Δu = (1 - u)us-1 - λur-1, in Ω, u = 0, on ∂Ω, where 1 < r < s ≤ 2, and λ > 0. In particular, we answer to some questions posed in the recent paper [3] where this problem was considered.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionNon-Lipschitz nonlinearityVariational methodsArticle