Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Multiple Solutions for a Nonlocal Kirchhoff Problem in Fractional Orlicz-Sobolev Spaces

---

Download PDF

Authors: E. AZROUL, A. BENKIRANE, M. SRATI AND M. XIANG

DOI: 10.46793/KgJMat2502.287A

Abstract:

In this paper, using the three critical points theorem we obtain the existence of three weak solutions for a Kirchhoff type problem driven by a nonlocal operator of the elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.

Keywords:

Nonlocal Kirchhoff type problem, fractional a(⋅)-Laplacian, fractional Orlicz-Sobolev spaces, three critical points theorem.

References: