p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

Abstract

This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator. Existence is derived as an application of the mountain pass theorem and the Ekeland variational principle. The main features and novelty of the paper are the presence of the Hardy terms as well as critical nonlinearities.

Keywords

• integro-differential operators
• hardy–schrödinger–kirchhoff systems
• hardy terms, critical nonlinearities
• variational methods
• 35d30
• 35r11
• 35a15
• 47g20