Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00229-012-0567-9
Title: Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights
Authors: Chen, Y.
Pang, P.Y.H. 
Wang, M.
Issue Date: 2013
Citation: Chen, Y., Pang, P.Y.H., Wang, M. (2013). Blow-up rates and uniqueness of large solutions for elliptic equations with nonlinear gradient term and singular or degenerate weights. Manuscripta Mathematica 141 (1-2) : 171-193. ScholarBank@NUS Repository. https://doi.org/10.1007/s00229-012-0567-9
Abstract: This paper deals with the blow-up rate and uniqueness of large solutions of the elliptic equation Δu = b(x)f(u) + c(x)g(u){pipe}∇u{pipe}q, where q > 0, f(u) and g(u) are regularly varying functions at infinity, and the weight functions b(x), c(x) ∈ Cα(Ω, ℝ+) 0 < α < 1, may be singular or degenerate on the boundary ∂Ω. Combining the regular variation theoretic approach of Cîrstea-Rǎdulescu and the systematic approach of Bandle-Giarrusso, we are able to improve and generalize most of the previously available results in the literature. © 2012 Springer-Verlag.
Source Title: Manuscripta Mathematica
URI: http://scholarbank.nus.edu.sg/handle/10635/102934
ISSN: 00252611
DOI: 10.1007/s00229-012-0567-9
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

5
checked on Oct 23, 2018

WEB OF SCIENCETM
Citations

4
checked on Nov 23, 2017

Page view(s)

32
checked on Sep 21, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.