Multiplicity of Nontrivial Solutions of a Class of Fractional -Laplacian Problem
Ghanmi Abdeljabbar
Université de Tunis, Tunisia
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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