Existence and Regularity of Positive Solutions for a Boundary Value Problem Involving the Fractional p-Laplacian

Abstract

In the paper, by exploring Stampacchia truncation method, some comparison techniques and variational approaches, we study the existence and regularity of positive solutions for a boundary value problem involving the fractional p-Laplacian, where the nonlinear term satisfies some growth conditions but without the Ambrosetti and Rabinowitz condition.