Existence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations

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dc.contributor.authorLiang, Sihua
dc.contributor.authorRadulescu, Vicentiu
dc.date.accessioned2022-07-27T20:33:10Z
dc.date.available2022-07-27T20:33:10Z
dc.date.issued2017-09-22
dc.description.abstractIn this article we study a class of Kirchhoff-type Schrödinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions which tend to zero under a suitable value of λ. The main feature and difficulty of our equations arise in the fact that the Kirchhoff term M could vanish at zero, that is, the problem is degenerate. To our best knowledge, our result is new even in the framework of Schrödinger-Choquard problems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiang, S., & Radulescu, V. D. (2017). Existence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations. <i>Electronic Journal of Differential Equations, 2017</i>(230), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15999
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectKirchhoff-type problems
dc.subjectSchrödinger-Choquard equations
dc.subjectFractional p-Laplacian
dc.subjectCritical exponent
dc.subjectVariational methods
dc.titleExistence of infinitely many solutions for degenerate Kirchhoff-type Schrödinger-Choquard equations
dc.typeArticle

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