Existence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold

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dc.contributor.authorChen, Jing
dc.contributor.authorTang, Xianhua
dc.contributor.authorChen, Sitong
dc.date.accessioned2022-02-16T19:13:42Z
dc.date.available2022-02-16T19:13:42Z
dc.date.issued2018-07-13
dc.description.abstractWe consider the nonlinear fractional Kirchhoff equation (α + b ∫ℝ3 |(-∆)α/2u|2 dx) (-∆)αu + V(x)u = ƒ(u) in ℝ3, u ∈ Hα (ℝ3), where α > 0, b ≥ 0, α ∈ (3/4, 1) are three constants, V(x) is differentiable and ƒ ∈ C1 (ℝ, ℝ). Our main results show the existence of ground state solutions of Nehari-Pohozaev type, and the existence of the least energy solutions to the above problem with general superlinear and subcritical nonlinearity. These results are proved by applying variational methods and some techniques from [27].
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChen, J., Tang, X., & Chen, S. (2018). Existence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold. <i>Electronic Journal of Differential Equations, 2018</i>(142), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15342
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.subjectFractional Kirchhoff equation
dc.subjectNehari-Pohozaev manifold
dc.subjectGround state solutions
dc.titleExistence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold
dc.typeArticle

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