Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian

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dc.contributor.authorChen, Yutong
dc.contributor.authorSu, Jiabao
dc.contributor.authorYan, Huanhong
dc.date.accessioned2022-07-27T21:09:52Z
dc.date.available2022-07-27T21:09:52Z
dc.date.issued2017-09-29
dc.description.abstractThis paper deals with the existence and multiplicity results for fractional problem involving the square root of the Laplacian A1/2 in a bounded domain with zero Dirichlet boundary conditions by Morse theory and critical groups for a C1 functional at both isolated critical points and infinity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChen, Y., Su, J., & Yan, H. (2017). Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian. <i>Electronic Journal of Differential Equations, 2017</i>(234), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16003
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.subjectVariational methods
dc.subjectCritical groups
dc.subjectMorse theory
dc.titleExistence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian
dc.typeArticle

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