Abstract

In this paper, we consider second order semilinear elliptic systems of the form −Δu = a(x)v^p and −Δv = b(x)u^q in R^N for N ≥ 3, where p,q > 0 and a,b in C(R^N). We prove a new Liouville-type theorem for the system under appropriate conditions on the nonlinearity.

Keywords

positive solution, Liouville-type theorem, moving spheres

Mathematical Subject Classification

Primary: 35J60

Secondary: 35J45

Authors