Asymptotic behavior of positive solutions to emden-fowler type equations

We study the asymptotic behavior of positive solutions to nonlinear elliptic equations of Emden-Fowler type with absorption term. For operators with variable coefficients we obtain conditions on coefficients under which the solutions have the same asymptotics as solutions to the model equation Δu = -x{pipe}p{pipe}u{pipe}σ-1u. For positive solutions we obtain lower order terms of the asymptotic expansion at infinity. Bibliography: 10 titles. © 2011 Springer Science+Business Media, Inc.