Fleckinger, JacquelineHarrell, Evans M.de Thelin, Francois2020-07-022020-07-022001-12-14Fleckinger, J., Harrell, E. M., & de Thelin, F. (2001). Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains. <i>Electronic Journal of Differential Equations, 2001</i>(77), pp. 1-14.1072-6691https://hdl.handle.net/10877/11953We study the asymptotic behavior of positive solutions u of -∆pu(x) = V(x)u(x) p-1, p > 1; x ∈ Ω, and related partial differential inequalities, as well as conditions for existence of such solutions. Here, Ω contains the exterior of a ball in ℝN 1 < p < N, ∆p is the p-Laplacian and V is a nonnegative function. Our methods include generalized Riccati transformations, comparison theorems, and the uncertainty principle.Text14 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianRiccatiUncertainty principleArticle