Multiplicity theorems for semipositone p-Laplacian problems

Abstract

In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at least two nontrivial solutions.

Keywords

• Weak solutions
• operator of type (S)_+
• Semipositone
• p-Laplacian problems