Multiple solutions for a fractional $p$-Kirchhoff system with singular nonlinearity

Abstract

This paper examines a class of fractional p-Kirchhoff systems driven by a nonlocal integro-differential operator with singular nonlinearity. By making use of Nehari manifold techniques, the existence of two nontrivial solutions is established. Our results extend those in Xiang et al. [Nonlinearity 29(2016), 3186–3205] for the corresponding subcritical case.

Keywords

• $p$-kirchhoff system
• singular nonlinearity
• nehari manifold