Geodesic
Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 63-80

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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.e\. differentiability of weak solutions to elliptic divergence type differential equations is proved for variational inequalities.
Classification : 35B65, 35D10, 35J60, 35J85, 35R45
Keywords: quasi-linear elliptic equations and inequalities; weak solution; local boundedness; pointwise differentiability; difference quotient 
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     author = {Je\v{z}kov\'a, Jana},
     title = {Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {63--80},
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     zbl = {0803.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a7/}
}
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Ježková, Jana. Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 63-80. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a7/