On existence solution for Schrodinger-Kirchhoff-type equations involving the fractional p-Laplacian in Double-struck capital R-N

摘要

The aim of this paper is to study the existence solution for Schrodinger-Kirchhoff-type equations involving nonlocal p-fractional Laplacian where is a real positive parameter, is a continuous function, is a singular kernel function, is a nonlocal fractional operator, with f is a Caratheodory function on satisfying the Ambrosetti-Rabinowitz-type condition. Using Mountain Pass Theorem, we obtain the existence of above equations. Our result is a extension the problem studied by Pucci-Xiang-Zhang [1].