Existence of symmetric positive solutions for a class of Sturm–Liouville-like boundary value problems

摘要

This paper deals with the existence of symmetric positive solutions for a class of singular Sturm–Liouville-like boundary value problems with a one-dimensional p-Laplacian operator. By using the fixed theorem of cone expansion and compression of norm type in a cone, the existence of positive solutions is established though nonlinear term contains the first derivative of unknown function.