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Research Article Open access CC BY 4.0

Asymptotic Behavior of Solutions to Singular Quasilinear Dirichlet Problem with a Convection Term

Chunlian Liu, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 80–88 · Published 2 Feb 2015

10.9734/BJMCS/2015/12968

Abstract

In this paper, we study the boundary behavior of solution to the singular Dirichlet problem                                   where Ω is a bounded domain with smooth boundary in RN, λ ∈ R,m > 1, 0 < q ≤ m/(m - 1), lims→0+ g(s) = +∞, and b ∈ Ca(Ω), which is non-negative on Ω and may be vanishing on the boundary, mainly, we investigate the exact asymptotic behavior of solution to the above problem.

Dirichlet problem quasilinear elliptic equation asymptotic behavior convection term.

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