Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities
Ježková, Jana
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 63-80 / Harvested from 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.

Publié le : 1994-01-01
Classification:  35B65,  35D10,  35J60,  35J85,  35R45 
@article{118642,
     author = {Jana Je\v zkov\'a},
     title = {Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {63-80},
     zbl = {0803.35061},
     mrnumber = {1292584},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118642}
}

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) pp. 63-80. http://gdmltest.u-ga.fr/item/118642/

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