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

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

Weak 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...

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Bibliographic Details
Main Authors: Mervan Pasic, Luka Korkut
Format: Article
Language:English
Published: Texas State University 2007-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Double obstacles
nonlinear p-Laplacian
graph
fractional dimension
Minkowski content
singularity of derivative.
Online Access:http://ejde.math.txstate.edu/Volumes/2007/37/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2007/37/abstr.html

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