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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     year = {1994},
     volume = {35},
     number = {1},
     mrnumber = {1292584},
     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/