Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R4

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dc.contributor.authorSarkar, Abhishek
dc.date.accessioned2022-03-21T16:31:22Z
dc.date.available2022-03-21T16:31:22Z
dc.date.issued2017-01-24
dc.description.abstractIn this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in ℝ4, with a parameter λ > 0. We establish upper and lower bounds for λ, which determine multiplicity and non-existence of solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSarkar, A. (2017). Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in ℝ4. <i>Electronic Journal of Differential Equations, 2017</i>(27), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15532
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.subjectBiharmonic
dc.subjectCritical exponent
dc.subjectMultiple solutions
dc.titleMultiple solutions of a fourth-order nonhomogeneous equation with critical growth in R4
dc.typeArticle

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