Electronic Journal of Differential Equations, Conference 05 (2000), pp. 33-49. Title: Nonlinear eigenvalue problems with semipositone structure Authors: Alfonso Castro (Univ. of Texas, San Antonio, TX, USA) C. Maya (Univ. of North Carolina at Greensboro, NC, USA) R. Shivaji (Mississippi State Univ., MS, USA) Abstract: In this paper we summarize the developments of semipositone problems to date, including very recent results on semipositone systems. We also discuss applications and open problems. Published October 24, 2000. Math Subject Classifications: 35J45, 35J55, 35J60, 34B18. Key Words: elliptic systems; semipositone problems; positive solutions.