Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials

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dc.contributor.authorJiang, Shuai
dc.contributor.authorYin, Li-Feng
dc.date.accessioned2023-05-23T15:30:54Z
dc.date.available2023-05-23T15:30:54Z
dc.date.issued2023-02-10
dc.description.abstractWe consider a class of Schrödinger-Kirchhoff equations in R3 with a general nonlinearity g and coercive sign-changing potential V so that the Schrödinger operator -aΔ +V is indefinite. The nonlinearity considered here satisfies the Ambrosetti-Rabinowitz type condition g(t)t≥μ G(t)>0 with μ>3. We obtain the existence of nontrivial solutions for this problem via Morse theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJiang, S., & Yin, L. F. (2023). Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials. <i>Electronic Journal of Differential Equations, 2023</i>(13), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16848
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger-Kirchhoff equations
dc.subjectPalais-Smale condition
dc.subjectMorse theory
dc.titleExistence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials
dc.typeArticle

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