On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order
Mathematica Bohemica (1992)
- Volume: 117, Issue: 4, page 373-392
- ISSN: 0862-7959
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topBalanda, Lubomír, and Viszus, Eugen. "On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order." Mathematica Bohemica 117.4 (1992): 373-392. <http://eudml.org/doc/29217>.
@article{Balanda1992,
abstract = {The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher orders.},
author = {Balanda, Lubomír, Viszus, Eugen},
journal = {Mathematica Bohemica},
keywords = {Liouville property; regularity; regularity of weak solutions; quasilinear elliptic systems; Liouville property; regularity},
language = {eng},
number = {4},
pages = {373-392},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order},
url = {http://eudml.org/doc/29217},
volume = {117},
year = {1992},
}
TY - JOUR
AU - Balanda, Lubomír
AU - Viszus, Eugen
TI - On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 4
SP - 373
EP - 392
AB - The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher orders.
LA - eng
KW - Liouville property; regularity; regularity of weak solutions; quasilinear elliptic systems; Liouville property; regularity
UR - http://eudml.org/doc/29217
ER -
References
top- Giaquinta M., Nečas J., On the regularity of weak solutions to non-linear elliptic systems of partial differential equations, J. Reine Angew. Math. 316 (19S0), 140-159. (19S0) MR0581329
- Giaquinta M., Nečas J., On the regularity of weak solutions to non-linear elliptic systems via Liouville's type property, Comm. Math. Univ. Carol. 50 (1979), 111-122. (1979) MR0526152
- Giusti E., Regolaritá parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Scuola Norm. Sup. Pisa 23 (1969), 115-141. (1969) MR0247258
- Kawohl B., On Liouville theorem, continuity and Hölder continuity of weak solution to some quasilinear elliptic systems, Comm. Math. Univ. Carol. 21 (1980), 679-697. (1980) MR0597758
- Kufner A., Fučík S., John O., Function Spaces, Academia, Prague, 1977. (1977) MR0482102
- Meier M., 10.1007/BF01303628, Manuscripta Math. 29 (1979), 207-228. (1979) MR0545042DOI10.1007/BF01303628
- Nečas J., Introduction to the theory of nonlinear elliptic equations, Teubner-Text zur Mathematik, Leipzig, 1983. (1983) MR0731261
- Nečas J., Les méthodes directes en théorie des equations elliptiques, Academia, Prague, 1967. (1967) MR0227584
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