Existence of solutions to (2,p)-Laplacian equations by Morse theory

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dc.contributor.authorLiang, Zhanping
dc.contributor.authorSong, Yuanmin
dc.contributor.authorSu, Jiabao
dc.date.accessioned2022-06-08T20:26:45Z
dc.date.available2022-06-08T20:26:45Z
dc.date.issued2017-07-21
dc.description.abstractIn this article, we use Morse theory to investigate a type of Dirichlet boundary value problem related to the (2, p)-Laplacian operator, where the nonlinear term is characterized by the first eigenvalue of the Laplace operator. The investigation is heavily based on a new decomposition about the Banach space W1,p0(Ω), where Ω ⊂ ℝN (N ≥ 1) is a bounded domain with smooth enough boundary.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiang, Z., Song, Y., & Su, J. (2017). Existence of solutions to (2,p)-Laplacian equations by Morse theory. Electronic Journal of Differential Equations, 2017(185), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15879
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.subject(2,p)-Laplacian equation
dc.subjectMorse theory
dc.titleExistence of solutions to (2,p)-Laplacian equations by Morse theoryen_US
dc.typeArticle

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