Weak Solutions of Fractional p-Kirchhoff Problem with Nonlocal Neumann Condition

Abstract

The existence of a weak solution to a Schrödinger-Kirchhoff- type problem involving the fractional p-Laplacian with a homogeneous Neumann type boundary condition is the focus of this essay. This p-Neumann boundary condition arises from a simple probabilistic consideration. The Berkovits degree theory is used to establish the existence of weak solutions under certain suitable conditions.