Three homoclinic solutions for second-order \(p\)-Laplacian differential system (Q2016698)

Summary: We consider second-order \(p\)-Laplacian differential system. By using three critical points theorem, we establish a new criterion to guarantee that this \(p\)-Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result. Editorial remark: According to the retraction note, ``this article has been retracted since the limits of the three sequences included in the manuscript are likely to be the same, which cannot be ruled out in the proof. So, the three nontrivial homoclinic solutions in Theorem 15 are likely to be the same one.''