On a perturbed non-local boundary value problem: a multiplicity result

Abstract

In the present paper, we deal with a non-local boundary value problem with an exponential non-linearity. The existence of one, two or three solutions is investigated under the presence of a suitable perturbation. Our approach is variational and combines results from critical point theory.

Keywords:

• non-local elliptic equations
• critical point theory
• variational methods

AMS Subject Classifications:

• 35J20
• 35J60
• 34B15