Multiple nodal solutions of nonlinear Choquard equations

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dc.contributor.authorHuang, Zhihua
dc.contributor.authorYang, Jianfu
dc.contributor.authorYu, Weilin
dc.date.accessioned2022-08-17T17:26:18Z
dc.date.available2022-08-17T17:26:18Z
dc.date.issued2017-10-27
dc.description.abstractIn this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation -∆u + u = (|x|-1 ∗ |u|p)|u|p-2u in ℝ3, u ∈ H1 (ℝ3), where p ∈ (5/2, 5). We show that for any positive integer k, the above problem has at least one radially symmetrical solution changing sign exactly k-times.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHuang, Z., Yang, J., & Yu, W. (2017). Multiple nodal solutions of nonlinear Choquard equations. <i>Electronic Journal of Differential Equations, 2017</i>(268), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16069
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectnonlinear Choquard equations
dc.subjectnodal solutions
dc.subjectnonlocal term
dc.titleMultiple nodal solutions of nonlinear Choquard equations
dc.typeArticle

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