On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order

Lubomír Balanda; Eugen Viszus

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 4, page 615-625
  • ISSN: 0010-2628

Abstract

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The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.

How to cite

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Balanda, Lubomír, and Viszus, Eugen. "On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order." Commentationes Mathematicae Universitatis Carolinae 32.4 (1991): 615-625. <http://eudml.org/doc/247322>.

@article{Balanda1991,
abstract = {The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.},
author = {Balanda, Lubomír, Viszus, Eugen},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {regularity of weak solutions; nonlinear elliptic systems},
language = {eng},
number = {4},
pages = {615-625},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order},
url = {http://eudml.org/doc/247322},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Balanda, Lubomír
AU - Viszus, Eugen
TI - On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 4
SP - 615
EP - 625
AB - The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order.
LA - eng
KW - regularity of weak solutions; nonlinear elliptic systems
UR - http://eudml.org/doc/247322
ER -

References

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  1. Balanda L., Viszus E., On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order, to appear. Zbl0817.35015MR1197287
  2. Giaquinta M., Nečas J., On the regularity of weak solutions to non-linear elliptic systems of partial differential equations, J. Reine Angew. Math. 316 (1980), 140-159. (1980) MR0581329
  3. Giaquinta M., Nečas J., On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property, Comment. Math. Univ. Carolinae 20 (1979), 111-122. (1979) Zbl0396.35047MR0526152
  4. Fučík S., John O., Kufner A., Function Spaces, Academia, Prague, 1977. MR0482102
  5. Nečas J., Introduction to the theory of non-linear elliptic equations, Teubner-Texte zur Mathematik, Leipzig, 1983. MR0731261
  6. Nečas J., Les méthodes directes en Théorie des équations elliptiques, Academia, Prague, 1967. MR0227584

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