Positive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity

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dc.contributor.authorde Moura, Elson Leal
dc.contributor.authorMiyagaki, Olimpio H.
dc.contributor.authorRuviaro, Ricardo
dc.date.accessioned2022-06-06T14:22:17Z
dc.date.available2022-06-06T14:22:17Z
dc.date.issued2017-06-27
dc.description.abstractThis article concerns the Klein-Gordon-Maxwell type system when the nonlinearity has a quasicritical growth at infinity, involving zero mass potential, that is, V(x) → 0, as |x| → ∞. The interaction of the behavior of the potential and nonlinearity recover the lack of the compactness of Sobolev embedding in whole space. The positive ground state solution is obtained by proving that the solution satisfies Mountain Pass level.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationde Moura, E. L., Miyagaki, O. H., & Ruviaro, R. (2017). Positive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity. Electronic Journal of Differential Equations, 2017(154), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15847
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.subjectKlein-Gordon-Maxwell
dc.subjectPositive solution
dc.subjectGround state
dc.subjectVanishing potential
dc.titlePositive ground state solutions for quasicritical Klein-Gordon-Maxwell type systems with potential vanishing at infinity
dc.typeArticle

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