Article ID Journal Published Year Pages File Type
1707574 Applied Mathematics Letters 2016 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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