Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian

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dc.contributor.authorPasic, Mervan
dc.contributor.authorZupanovic, Vesna
dc.date.accessioned2021-04-19T18:19:12Z
dc.date.available2021-04-19T18:19:12Z
dc.date.issued2004-04-19
dc.description.abstractWe study the asymptotic behaviour of ɛ-neighbourhood of the graph of a type of rapidly oscillating continuous functions. Next, we estate necessary and sufficient conditions for rapid oscillations of solutions of the main equation. This enables us to verify some new singular properties of bounded continuous solutions of a class of nonlinear p-Laplacian by calculating lower and upper bounds for the Minkowski content and the s-dimensional density of the graph of each solution and its derivative.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPasic, M., & Zupanovic, V. (2004). Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian. <i>Electronic Journal of Differential Equations, 2004</i>(60), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13397
dc.language.isoen
dc.publisherSouthwest Texas 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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNonlinear p-Laplacian
dc.subjectBounded solutions
dc.subjectQualitative properties
dc.subjectGraph
dc.subjectSingularity
dc.subjectMinkowski content
dc.subjectS-dimensional density
dc.titleSome metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian
dc.typeArticle

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