Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities

Abstract

In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional pp-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.

Keywords

• variational method
• nehari manifold
• elliptic equation
• multiplicity of solutions
• 35p30
• 35j35
• 35j60