Journal of Advances in Mathematics and Computer Science

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

Chunlian Liu

College of Xinglin, Nantong University, Jiangsu Nantong 226008, China.

Zuodong Yang *

School of Teacher Education, Nanjing Normal University, Jiangsu Nanjing 210097, China and Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Jiangsu Nanjing 210023, China.

*Author to whom correspondence should be addressed.

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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 R^N, λ ∈ R,m > 1, 0 < q ≤ m/(m - 1),
lim_s→0+ g(s) = +∞, and b ∈ C^a(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.

Keywords: Dirichlet problem, quasilinear elliptic equation, asymptotic behavior, convection term.

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