Boundary asymptotic behavior and uniqueness of large solutions to quasilinear elliptic equations

https://doi.org/10.1016/j.camwa.2009.12.003Get rights and content
Under an Elsevier user license
open archive

Abstract

We study the existence, uniqueness and exact asymptotic behavior of solutions near the boundary to a class of quasilinear elliptic equations div(|u|p2u)=λg(u)b(x)f(u)inΩ where λ is a real number, and b(x)>0 in Ω and vanishes on Ω. The uniqueness of such a solution follows as a consequence of the exact blow-up rate.

Keywords

Elliptic equation
Regular variation
Boundary asymptotic
Uniqueness

Cited by (0)

This project was supported by the National Natural Science Foundation of China (No. 10871060) and the Natural Science Foundation of the Educational Department of Jiangsu Province (No. 08KJB110005).