An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions

Details An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions

2011-06-21

arxiv.org/abs/1106.4109v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

We deal with existence of entire solutions for the quasilinear elliptic system of this type {\Delta}_{p}u_{i}+h_{i}(|x|)|\bigtriangledown u_{i}|^{p-1}=a_{i}(|x|)f_{i}(u_1,u_2) on R^{N} (N\geq3, i=1,2) where N-1\geqp>1, {\Delta}_{p} is the p-Laplacian operator and h_{i}, a_{i}, f_{i} are suitable functions. The results of this paper supplement the existing results in the literature and improve those obtained by Xinguang Zhang and Lishan Liu, The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term, Journal of Mathematical Analysis and Applications, Volume 371, Issue 1, 1 November 2010, Pages 300-308).

Affiliated with

Also associated with

No associations

Rating

An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An existence result for a quasilinear system with gradient term under the Keller-Osserman conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177923