The Nehari manifold for a fractional $(p(.),q(.))$-Laplacian systems

Athmane Boumazourh; Elhoussine Azroul; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 61

The Nehari manifold for a fractional $(p(.),q(.))$-Laplacian systems

Athmane Boumazourh, Elhoussine Azroul

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Jan 17, 2019	Feb 26, 2019	Mar 01, 2019

Abstract: In this work, we study the existence of multiple positive weak solutions for a quasilinear elliptic system involving the fractional $(p(.),q(.))-$Laplacian operators. The approach is based on the Nehari manifold and on some variational methods.