A result on three solutions theorem and its application to p-Laplacian systems with singular weights
1 Department of Mathematics Education, Pusan National University, Busan, 609-735, Korea
2 Department of Mathematics, Pusan National University, Busan, 609-735, Korea
Boundary Value Problems 2012, 2012:63 doi:10.1186/1687-2770-2012-63Published: 22 June 2012
In this paper, we consider p-Laplacian systems with singular weights. Exploiting Amann type three solutions theorem for a singular system, we prove the existence, nonexistence, and multiplicity of positive solutions when nonlinear terms have a combined sublinear effect at ∞.
MSC: 35J55, 34B18.