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

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dc.contributor.authorWu, Qingfang
dc.contributor.authorQin, Dongdong
dc.date.accessioned2022-01-03T15:15:31Z
dc.date.available2022-01-03T15:15:31Z
dc.date.issued2018-01-18
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWu, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15081
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger equations
dc.subjectMinimax characterization
dc.subjectPerturbation method
dc.subjectNehari-Pankov manifold
dc.subjectGround states
dc.titleGround and bound states of periodic Schrodinger equations with super or asymptotically linear terms
dc.typeArticle

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