Two solutions for fractional p-Laplacian inclusions under nonresonance

dc.contributor.authorIannizzotto, Antonio
dc.contributor.authorRocha, Eugenio M.
dc.contributor.authorSantos, Sandrina
dc.date.accessioned2022-02-14T18:15:51Z
dc.date.available2022-02-14T18:15:51Z
dc.date.issued2018-06-15
dc.description.abstractWe study a pseudo-differential inclusion driven by the fractional p-Laplacian operator and involving a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. Using variational methods based on nonsmooth critical point theory (Clarke's subdifferential), we establish existence of at least two constant sign solutions (one positive, the other negative), enjoying Holder regularity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIannizzotto, A., Rocha, E. M., & Santos, S. (2018). Two solutions for fractional p-Laplacian inclusions under nonresonance. <i>Electronic Journal of Differential Equations, 2018</i>(122), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15322
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional p-Laplacian
dc.subjectDifferential inclusion
dc.subjectNonsmooth analysis
dc.subjectCritical point theory
dc.titleTwo solutions for fractional p-Laplacian inclusions under nonresonance
dc.typeArticle

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