Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

Abstract

In this paper, we study certain critical Schrödinger-Kirchhoff type systems involving the fractional $p$-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.

References in corpus (4)

• An extension problem related to the fractional Laplacian
• On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
• On doubly nonlocal fractional elliptic equations
• Concentrating Bound States for Kirchhoff type problems in ${\mathbb{R}}^3$ involving critical Sobolev exponents