Bifurcation and asymptotical behavior for singular elliptic equation with a linear convection term. (February 2016)

• Record Type: Journal Article
• Authors: Hu, Liang-Gen
• Is Part Of: Applied mathematics letters. Volume 52(2016:Feb.)
• Page Start: 199
• Page End: 204
• Publication Date: 2016-02
• Subjects: Singularity -- Positive solution -- Asymptotical behavior -- Linear convection term; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2015.09.013
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We examine the elliptic equation − Δ u = p ( R − | x | ) g ( u ) + f ( x, u ) + μ | ∇ u |, in B R, u = 0, on ∂ B R, where μ ∈ R, f is a nondecreasing function with sublinear growth, p is a singular positive weight and g is decreasing and unbounded around the origin. We establish the existence of positive solution for all μ ∈ R and describe the precise asymptotical behavior of the solution near boundary.