Calculus of Variations and Geometric Measure Theory

G. Franzina - D. Licheri

A non-local semilinear eigenvalue problem

created by franzina on 13 Jul 2022
modified on 04 Jun 2024


Published Paper

Inserted: 13 jul 2022
Last Updated: 4 jun 2024

Journal: Fractional Calculus and Applied Analysis
Year: 2022
Doi: 0.1007/s13540-022-00104-5


For a non-local semilinear eigenvalue problem, we prove simplicity and isolation of the first eigenvalue with homogeneous Dirichlet boundary conditions on open sets supporting a suitable compact Sobolev embedding.