Korkut, LukaPasic, MervanZubrinic, Darko2019-12-202019-12-202000-02-12Korkut, L., Pasic, M., & Zubrinic, D. (2000). A singular ODE related to quasilinear elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(12), pp. 1-37.1072-6691https://hdl.handle.net/10877/9122We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions. All results are based on the study of a suitable singular ODE of the first order. We also introduce a comparison principle for a class of nonlinear integral operators of Volterra type that enables to obtain uniqueness of weak solutions of the quasilinear equation.Text37 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianSpherically symmetricExistenceNon-existenceUniquenessComparison principleSingular ODERegularityArticle