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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1994__35_1_a7,
     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},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {1994},
     mrnumber = {1292584},
     zbl = {0803.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a7/}
}
TY  - JOUR
AU  - Ježková, Jana
TI  - Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1994
SP  - 63
EP  - 80
VL  - 35
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a7/
LA  - en
ID  - CMUC_1994__35_1_a7
ER  - 
%0 Journal Article
%A Ježková, Jana
%T Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities
%J Commentationes Mathematicae Universitatis Carolinae
%D 1994
%P 63-80
%V 35
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a7/
%G en
%F CMUC_1994__35_1_a7
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/