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

Authors : Dragos-patru COVEI

Pages : 267-277

Doi:10.3906/mat-1304-22

View : 13 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type D pui+hiinsert ignore into journalissuearticles values(\vert x\vert); \vert \nabla ui\vert p-1=aiinsert ignore into journalissuearticles values(\vert x\vert ); fiinsert ignore into journalissuearticles values(u1,u2); on RN insert ignore into journalissuearticles values(N\geq 3, i=1,2); where N-1\geq p>1, Dp is the p-Laplacian operator, and hi, ai, fi 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 insert ignore into journalissuearticles values(Large solutions to non-monotone semilinear elliptic systems, Journal of Mathematical Analysis and Applications, Volume 384, pages 284--292, 2011);.
Keywords : Entire solution, large solution, elliptic system