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Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities

Jana Ježková — 1994

Commentationes Mathematicae Universitatis Carolinae

The local boundedness of weak solutions to variational inequalities (obstacle problem) with the linear growth condition is obtained. Consequently, an analogue of a theorem by Reshetnyak about a.eḋifferentiability of weak solutions to elliptic divergence type differential equations is proved for variational inequalities.

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