On ground states of superlinear p-Laplacian equations in RN

We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a bounded potential well. Without assuming the Ambrosetti–Rabinowitz type condition and the monotonicity of the function , we prove the existence of ground states. Even for the case p=2, our results extend the recent results of Li, Wang and Zeng [Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 829–837].