Research output: Contribution to journal › Article › peer-review
Partial regularity of solutions of quasilinear elliptic systems with nonsmooth condition on the conormal derivative. / Arkhipova, A. A.
In: Sbornik Mathematika, Russian Academy of Science , Vol. 78, No. 1, 28.02.1994, p. 215-230.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Partial regularity of solutions of quasilinear elliptic systems with nonsmooth condition on the conormal derivative
AU - Arkhipova, A. A.
PY - 1994/2/28
Y1 - 1994/2/28
N2 - Partial regularity of a generalized solution,, of a quasilinear elliptic system is proved under a nonsmooth condition on the conormal derivative. The singular set is described; it is proved that for some the Hausdorff dimension of is equal to. In the proof essential use is made of a theorem proved earlier by the author on reverse inequalities with surface integrals.Bibliography: 8 titles.
AB - Partial regularity of a generalized solution,, of a quasilinear elliptic system is proved under a nonsmooth condition on the conormal derivative. The singular set is described; it is proved that for some the Hausdorff dimension of is equal to. In the proof essential use is made of a theorem proved earlier by the author on reverse inequalities with surface integrals.Bibliography: 8 titles.
KW - elliptic systems of equations
UR - http://www.scopus.com/inward/record.url?scp=84957315444&partnerID=8YFLogxK
U2 - 10.1070/SM1994v078n01ABEH003466
DO - 10.1070/SM1994v078n01ABEH003466
M3 - Article
AN - SCOPUS:84957315444
VL - 78
SP - 215
EP - 230
JO - Sbornik Mathematics
JF - Sbornik Mathematics
SN - 1064-5616
IS - 1
ER -
ID: 15545069