The uniqueness solution for a fractional φ -Laplacian Dirichlet problem and its spectrum
Abderrahmane Lakhdari, Kamel Tahri, Nedra Belhaj Rhouma · Complex Variables and Elliptic Equations · 2023
In this paper, we demonstrate the existence of a unique weak solution for a nonlocal Kirchhoff problem under Dirichlet boundary conditions, involving the fractional φ-Laplacian operator. Our major outcome is acquired by applying variational approaches and critical points theory. In addition, we analyse the spectrum and the eigenvalues associated to this problem. At the end and under some assumptions, we give an application to the previous problems.