Rhouma, Nedra BelHajMaatoug, Lamia2020-09-142020-09-142003-02-15Rhouma, N. B., & Maatoug, L. (2003). Existence of positive solutions for two nonlinear eigenvalue problems. <i>Electronic Journal of Differential Equations, 2003</i>(16), pp. 1-16.1072-6691https://hdl.handle.net/10877/12607We study the existence of positive solutions for the following two nonlinear eigenvalue problems ∆u - g(., u)u + λƒ(.,u) = 0, ∆u - g(., u)u + λƒ(., u) = 0, in a bounded regular domain in ℝ2 with u = 0 on the boundary. We assume that ƒ and g are in Kato class of functions.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalEigenvalueKato classGreen's functionSuperharmonic functionShauder fixed point theoremMaximum principleArticle