Three nontrivial solutions for periodic problems with the \(p\)-Laplacian and a \(p\)-superlinear nonlinearity (Q1016668)

The paper is concerned with the study of a nonlinear periodic problem driven by the scalar \(p\)-Laplacian and a \(p\)-superlinear growth near \(\pm\infty \). Using a combination of minimax methods based on critical point theory, together with truncation techniques and Morse theoretic arguments, the authors show that this problem has at least three nontrivial solutions, two of which have constant sign.