Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran. E-mail: afrouzi@umz.ac.ir, s.h.rasouli@umz.ac.ir
AMS subject classification: 35J65.
We consider the existence of positive solutions for the quasilinear elliptic system where λ is a positive parameter, Δ is the Laplacian operator, αi > 0 for i = 1,2,…,n, and Ω is a bounded domain in ℝN(N > 1) with smooth boundary ∂Ω. By using the method of subsuper solutions we prove the existence of positive solutions for each λ > 0.
Quasilinear elliptic system, existence, positive solutions
