Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms
Date
2006-08-18
Authors
Zhang, Zhijun
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem
-Δu = k(x)g(u) + λ|∇u|q, u > 0, x ∈ Ω, u|∂Ω = 0,
where Ω is a bounded domain with smooth boundary in ℝN. We use the Karamata regular varying theory, a perturbed argument, and constructing comparison functions.
Description
Keywords
Semilinear elliptic equations, Dirichlet problem, Singularity, Nonlinear convection terms, Karamata regular variation theory, Unique solution, Exact asymptotic behaviour
Citation
Zhang, Z. (2006). Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms. <i>Electronic Journal of Differential Equations, 2006</i>(93), pp. 1-8.