Infinitely many homoclinic solutions for double phase problem on
AbstractWe consider a discrete double phase problem on integers with an
unbounded potential and reaction term, which does not satisfy the
Ambrosetti--Rabinowitz condition. A new functional setting was provided
for this problem. Using the Fountain and Dual Fountain Theorem with
Cerami condition, we obtain some existence of infinitely many solutions.
Our results extend some recent findings expressed in the literature.