Korkut, LukaPasic, Mervan2021-08-042021-08-042007-03-01Korkut, 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. 1-21.1072-6691https://hdl.handle.net/10877/14187Weak 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^p norm of derivative of solutions is given.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalDouble obstaclesNonlinear p-LaplacianGraphFractional dimensionMinkowski contentSingularity of derivativeArticle