Quasilinear asymptotically linear Schrödinger problem in R^N without monotonicity

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dc.contributor.authorMiyagaki, Olimpio H.
dc.contributor.authorMoreira, Sandra I.
dc.contributor.authorRuviaro, Ricardo
dc.date.accessioned2022-03-07T21:48:31Z
dc.date.available2022-03-07T21:48:31Z
dc.date.issued2018-09-11
dc.description.abstractWe establish existence and non-existence results for a quasilinear asymptotically linear Schrodinger problem. In the first result, we prove that a minimization problem constrained to the Pohozaev manifold is not achieved. In the second, the main argument consists in a splitting lemma for a functional constrained to the Pohozaev manifold. Because of the lack of the monotonicity we are not able to project to the usual Nehari manifold any longer, and this approach is crucial in order to compare the critical level to reach a contradiction. This argument was used in [21, 24, 32] for semilinear equations and in [11] for quasilinear equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMiyagaki, O. H., Moreira, S. I., & Ruviaro, R. (2018). Quasilinear asymptotically linear Schrödinger problem in R^N without monotonicity. <i>Electronic Journal of Differential Equations, 2018</i>(164), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15458
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
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.subjectQuasilinear Schrödinger equations
dc.subjectVariational methods
dc.subjectAsymptotically linear
dc.titleQuasilinear asymptotically linear Schrödinger problem in R^N without monotonicity
dc.typeArticle

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