Ground and bound states of periodic Schrodinger equations with super or asymptotically linear terms

Date

2018-01-18

Authors

Wu, Qingfang
Qin, Dongdong

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This 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.

Description

Keywords

Schrödinger equations, Minimax characterization, Perturbation method, Nehari-Pankov manifold, Ground states

Citation

Wu, Q., & Qin, D. (2018). Ground and bound states of periodic Schrodinger equations with super or asymptotically linear terms. Electronic Journal of Differential Equations, 2018(25), pp. 1-26.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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