Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707574 | Applied Mathematics Letters | 2016 | 6 Pages |
Abstract
We examine the elliptic equation −Δu=p(R−|x|)g(u)+f(x,u)+μ|∇u|−Δu=p(R−|x|)g(u)+f(x,u)+μ|∇u|, in BRBR, u=0u=0, on ∂BR∂BR, where μ∈Rμ∈R, ff is a nondecreasing function with sublinear growth, pp is a singular positive weight and gg is decreasing and unbounded around the origin. We establish the existence of positive solution for all μ∈Rμ∈R and describe the precise asymptotical behavior of the solution near boundary.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Liang-Gen Hu,