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

作者：Covei Dragos Patru^*

来源：Turkish Journal of Mathematics, 2014, 38(2): 267-277.

DOI：10.3906/mat-1304-22

• Entire solution
• large solution
• elliptic system

We use some new technical tools to obtain the existence of entire solutions for the quasilinear elliptic system of type Delta(p)ui + h(i) (vertical bar x vertical bar) vertical bar del u(i)vertical bar(p-1) = a(i) (vertical bar x vertical bar) f(i) (u(1), u(2)) on R-N (N %26gt;= 3, i = 1,2) where N - 1 %26gt;= p %26gt; 1, Delta(p) is the p-Laplacian operator, and h a, L 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).

• 出版日期2014