The Nehari manifold for fractional p-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions

Abstract

In this paper, we consider a fractional p-Laplacian system with both concave-convex nonlinearities and sign-changing weight functions in bounded domains. With the help of the Nehari\ manifold, we prove that the system has at least two nontrivial solutions when the pair of the parameters $(\lambda ,\mu )$ belongs to a certain subset of ${\mathbb{R}}^n$

21 pages

References in corpus (1)

• Concentration-compactness principle for nonlocal scalar field equations with critical growth