A Remark on Entire Explosive Solutions for a Class of Elliptic System with Linear Gradient Terms
نویسندگان
چکیده
In this paper, we study the existence of positive entire large radial solutions to the nonlinear elliptic system with gradient terms { div(|∇u|p−2∇u) + |∇u| = m(|x|)f1(v)f2(u), x ∈ RN div(|∇v|q−2∇v) + |∇v| = n(|x|)g1(v)g2(u), x ∈ RN (1) The nonlinearities fi, gi (i = 1, 2) are positive and continuous, while the potentials m, n are continuous and certain growth condition. We give some simple conditions that gurantees the existence of infinitely many entire positive radial solutions. Mathematics Subject Classification: 34B15, 34B18
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تاریخ انتشار 2010