Resumen de Multiplicity Results for Second Order Non-Autonomous Singular Dirichlet Systems

Jifeng Chu, Donal O'Regan

• In this paper, we establish multiplicity results for second order non-autonomous singular Dirichlet systems. The proof is based on a well-known fixed point theorem in cones, and an existence principle proved in Agarwal and O�Regan (J. Differ. Equ. 175:393�414, 2001), which was established using a nonlinear alternative of Leray-Schauder type. Truncation techniques play an important role in the analysis. Some recent results in the literature are generalized and improved.