Positive solutions of four-point boundary-value problems for higher-order with $p$-Laplacian operator

Abstract

In this paper, we study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the $p$-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions.

Keywords

• Higher-order $p$-Laplacian operator
• four-point
• positive solutions
• singular boundary-value
• fixed-point index theory.