Positive solutions for a class of sublinear elliptic systems
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, PR China
Boundary Value Problems 2014, 2014:28 doi:10.1186/1687-2770-2014-28Published: 30 January 2014
In this paper, we are concerned with the existence of positive solutions of the semilinear elliptic system
where is a parameter, is a continuous real function for each . Under some appropriate assumptions, we show that the above system has at least one positive solution in certain interval of λ. The proofs of our main results are based upon bifurcation theory.
MSC: 34B15, 34B18.