Turkish Journal of Mathematics
Abstract
We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type \Delta _pu_i+h_i(\vert x\vert) \vert \nabla u_i\vert ^{p-1}=a_i(\vert x\vert ) f_i(u_{1},u_2) on R^N (N\geq 3, i=1,2) where N-1\geq p>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 complete those obtained by Jesse D Peterson and Aihua W Wood (Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011).
DOI
10.3906/mat-1304-22
Keywords
Entire solution, large solution, elliptic system
First Page
267
Last Page
277
Recommended Citation
COVEI, D. P (2014). An existence result for a quasilinear system with gradient term under the Keller--Osserman conditions. Turkish Journal of Mathematics 38 (2): 267-277. https://doi.org/10.3906/mat-1304-22
