Positive solutions for semipositone (k,n−k) conjugate boundary value problems with singularities on space variables

In this article, integrations of height functions of the nonlinear term on some special bounded sets are employed to investigate the existence and multiplicity of positive solutions for semipositone (k,n−k) conjugate boundary value problems. The interesting point lies in that singularities of the nonlinearity are related to both the time and the space variables.