Multiple positive solutions for a nonlocal problem involving critical exponent

dc.contributor.authorWang, Yue
dc.contributor.authorSuo, Hong-Min
dc.contributor.authorLei, Chun-Yu
dc.date.accessioned2022-08-19T14:46:04Z
dc.date.available2022-08-19T14:46:04Z
dc.date.issued2017-11-05
dc.description.abstractThis article concerns the nonlocal problem -(α - b ∫ℝ4|∇u|2 dx) ∆u = |u|2u + μƒ(x), in ℝ4, u ∈ D1,2(ℝ4), where α, b are positive constants, μ is a non-negative parameter, ƒ(x) ∈ L4/3(ℝ4) is a non-negative function. By using the variational method, the existence of multiple positive solutions are obtained.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, Y., Suo, H. M., & Lei, C. Y. (2017). Multiple positive solutions for a nonlocal problem involving critical exponent. <i>Electronic Journal of Differential Equations, 2017</i>(275), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16076
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.subjectMultiple positive solutions
dc.subjectNonlocal problem
dc.subjectCritical exponent
dc.titleMultiple positive solutions for a nonlocal problem involving critical exponent
dc.typeArticle

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