Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities

Abstract

This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.

Keywords

• nehari manifold
• variational method
• fractional p-laplacian operators