In this paper we study a boundary value problem for difference equations in a variational framework. We establish the existence of at least three solutions for a perturbed problem using a recent result by Ricceri, in which the non-convexity of a superlevel of a suitable functional is assumed.
Multiplicity theorems for discrete boundary value problems
IANNIZZOTTO, ANTONIO;
2007-01-01
Abstract
In this paper we study a boundary value problem for difference equations in a variational framework. We establish the existence of at least three solutions for a perturbed problem using a recent result by Ricceri, in which the non-convexity of a superlevel of a suitable functional is assumed.
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