Existence of positive eigenvalues with prescribed-norm eigenfunctions is shown for a nonlocal fractional thermostat problem via Birkhoff-Kellogg theorem in cones, with explicit localization intervals, even when the Green's function changes sign.
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On a nonlocal fractional thermostat eigenvalue problem
Existence of positive eigenvalues with prescribed-norm eigenfunctions is shown for a nonlocal fractional thermostat problem via Birkhoff-Kellogg theorem in cones, with explicit localization intervals, even when the Green's function changes sign.