Existence of solutions to perturbed fractional Nirenberg problems

dc.contributor.authorAbdelhedi, Wael
dc.contributor.authorAlhemedan, Suad
dc.contributor.authorChtioui, Hichem
dc.contributor.authorHajaiej, Hichem
dc.contributor.authorMarkowich, Peter
dc.date.accessioned2022-03-16T20:44:37Z
dc.date.available2022-03-16T20:44:37Z
dc.date.issued2017-01-12
dc.description.abstractIn this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAbdelhedi, W., Alhemedan, S., Chtioui, H., Hajaiej, H., & Markowich, P. A. (2017). Existence of solutions to perturbed fractional Nirenberg problems. <i>Electronic Journal of Differential Equations, 2017</i>(14), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15519
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.subjectFractional Laplacian
dc.subjectCritical exponent
dc.subjectSigma-curvature
dc.subjectCritical points at infinity
dc.titleExistence of solutions to perturbed fractional Nirenberg problems
dc.typeArticle

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