Anane, AomarChakrone, OmarChehabi, Mohammed2021-07-162021-07-162006-05-19Anane, A., Chakrone, O., & Chehabi, M. (2006). Existence of solutions for some nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 2006</i>(63), pp. 1-13.1072-6691https://hdl.handle.net/10877/13936In this paper, we study the existence of solutions to the following nonlinear elliptic problem in a bounded subset Ω of ℝN: -Δpu = ƒ(x, u, ∇u) + μ in Ω, u = 0 on ∂Ω, where μ is a Radon measure on Ω which is zero on sets of p-capacity zero, ƒ : Ω x ℝ x ℝN → ℝ is a Carathéodory function that satisfies certain conditions with respect to the one dimensional spectrum.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary value problemTruncationp-LaplacianSpectrumArticle