A note on regular points for solutions of nonlinear elliptic systems
Archivum Mathematicum (1996)
- Volume: 032, Issue: 2, page 105-116
- ISSN: 0044-8753
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topDaněček, Josef, and Viszus, Eugen. "A note on regular points for solutions of nonlinear elliptic systems." Archivum Mathematicum 032.2 (1996): 105-116. <http://eudml.org/doc/247858>.
@article{Daněček1996,
abstract = {It is shown in this paper that gradient of vector valued function $ u(x), $ solution of a nonlinear elliptic system, cannot be too close to a straight line without $ u(x) $ being regular.},
author = {Daněček, Josef, Viszus, Eugen},
journal = {Archivum Mathematicum},
keywords = {nonlinear elliptic systems; regularity; Hölder continuity of the gradient; regular points},
language = {eng},
number = {2},
pages = {105-116},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on regular points for solutions of nonlinear elliptic systems},
url = {http://eudml.org/doc/247858},
volume = {032},
year = {1996},
}
TY - JOUR
AU - Daněček, Josef
AU - Viszus, Eugen
TI - A note on regular points for solutions of nonlinear elliptic systems
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 2
SP - 105
EP - 116
AB - It is shown in this paper that gradient of vector valued function $ u(x), $ solution of a nonlinear elliptic system, cannot be too close to a straight line without $ u(x) $ being regular.
LA - eng
KW - nonlinear elliptic systems; regularity; Hölder continuity of the gradient; regular points
UR - http://eudml.org/doc/247858
ER -
References
top- Sistemi ellittici in forma divergenza. Regolarita all’interno, Quaderni, Pisa, 1980. (1980) Zbl0453.35026MR0668196
- On the regularity of weak solutions to nonlinear elliptic systems of second order, Zeitschrift für Analysis und ihre Anwendungen Bd. 9(6) (1990), 535–544. (1990) MR1119297
- A note one regular points for solutions of elliptic systems, Manuscripta mathematica 29 (1979), 417–426. (1979) MR0545051
- Function spaces, Academia, Prague, 1977. (1977) MR0482102
- Introduction to the theory of nonlinear elliptic equations, Teubner-Texte zur Math., Leipzig, 1983. (1983) MR0731261
- Principio di massimo per i sistemi ellitici quasilineari non diagonali, Bol.U.M.I. (4)6 (1972), 1–10. (1972) MR0315281
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