Multiplicity of Nontrivial Solutions of a Class of Fractional -Laplacian Problem

  • Ghanmi Abdeljabbar

    Université de Tunis, Tunisia

Abstract

In this paper, we deal with existence of nontrivial solutions to the fractional -Laplacian problem of the type

where is a bounded domain in with smooth boundary , , , such that , , and . Using the decomposition of the Nehari manifold, we prove that the non-local elliptic problem has at least two nontrivial solutions.

Cite this article

Ghanmi Abdeljabbar, Multiplicity of Nontrivial Solutions of a Class of Fractional -Laplacian Problem. Z. Anal. Anwend. 34 (2015), no. 3, pp. 309–319

DOI 10.4171/ZAA/1541