On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content

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dc.contributor.authorKorkut, Luka
dc.contributor.authorPasic, Mervan
dc.date.accessioned2021-08-04T14:27:30Z
dc.date.available2021-08-04T14:27:30Z
dc.date.issued2007-03-01
dc.description.abstractWeak continuous bounded solutions of a class of nonlinear variational inequalities associated to one-dimensional p-Laplacian are studied. It is shown that a kind of boundary behaviour of nonlinearity in the main problem produces a kind of high boundary concentration of the graph of solutions. It is verified by calculating lower bounds for the upper Minkowski-Bouligand dimension and Minkowski content of the graph of each solution and its derivative. Finally, the order of growth for singular behaviour of the L<sup>p</sup> norm of derivative of solutions is given.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKorkut, L., & Pasic, M. (2007). On a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content. <i>Electronic Journal of Differential Equations, 2007</i>(37), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14187
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDouble obstacles
dc.subjectNonlinear p-Laplacian
dc.subjectGraph
dc.subjectFractional dimension
dc.subjectMinkowski content
dc.subjectSingularity of derivative
dc.titleOn a class of nonlinear variational inequalities: High concentration of the graph of weak solution via its fractional dimension and Minkowski content
dc.typeArticle

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