Wu, QingfangQin, Dongdong2022-01-032022-01-032018-01-18Wu, Q., & Qin, D. (2018). Ground and bound states of periodic Schrodinger equations with super or asymptotically linear terms. <i>Electronic Journal of Differential Equations, 2018</i>(25), pp. 1-26.1072-6691https://hdl.handle.net/10877/15081This paper is concerned with existence of ground and bound states for a class of nonlinear Schrodinger equation with periodic potential. We impose general assumptions on the nonlinearity with super or asymptotically linear growth, and find some refinements of known results and new results by using the perturbation method and a mountain pass argument. In particular, a critical point theory is established for the asymptotically linear growth case.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalSchrödinger equationsMinimax characterizationPerturbation methodNehari-Pankov manifoldGround statesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.