Multiplicity results of nonlocal singular PDEs with critical Sobolev-Hardy exponent

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dc.contributor.authorDaoues, Adel
dc.contributor.authorHammami, Amani
dc.contributor.authorSaoudi, Kamel
dc.date.accessioned2023-05-19T20:21:54Z
dc.date.available2023-05-19T20:21:54Z
dc.date.issued2023-01-26
dc.description.abstractIn this article we study a nonlocal equation involving singular and critical Hardy-Sobolev non-linearities, (-Δp)su - μ|u|p-2u/|x|sp = λu-α + |u|p*s(t)-2u/|x|t, in Ω, u > 0, in Ω, u = 0, in ℝN \ Ω, where Ω ⊂ ℝN is a bounded domain with Lipschitz boundary and (-Δp)s is the fractional p-Laplacian operator. We combine some variational techniques with a perturbation method to show the existence of multiple solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDaoues, A., Hammami, A., & Saoudi, K. (2023). Multiplicity results of nonlocal singular PDEs with critical Sobolev-Hardy exponent. <i>Electronic Journal of Differential Equations, 2023</i>(10), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16845
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlocal elliptic problem
dc.subjectSingular non-linearity
dc.subjectVariational method
dc.subjectSobolev and Hardy non-linearities
dc.subjectPerturbation method
dc.subjectMultiple positive solutions
dc.titleMultiplicity results of nonlocal singular PDEs with critical Sobolev-Hardy exponent
dc.typeArticle

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