A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities

Pierre-Louis Lions; Jindřich Nečas; Ivan Netuka

Commentationes Mathematicae Universitatis Carolinae (1982)

  • Volume: 023, Issue: 4, page 645-655
  • ISSN: 0010-2628

How to cite

top

Lions, Pierre-Louis, Nečas, Jindřich, and Netuka, Ivan. "A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities." Commentationes Mathematicae Universitatis Carolinae 023.4 (1982): 645-655. <http://eudml.org/doc/17210>.

@article{Lions1982,
author = {Lions, Pierre-Louis, Nečas, Jindřich, Netuka, Ivan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Liouville theorem; isotropic nonlinearities; Saint-Venant property; Poincaré inequality},
language = {eng},
number = {4},
pages = {645-655},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities},
url = {http://eudml.org/doc/17210},
volume = {023},
year = {1982},
}

TY - JOUR
AU - Lions, Pierre-Louis
AU - Nečas, Jindřich
AU - Netuka, Ivan
TI - A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1982
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 023
IS - 4
SP - 645
EP - 655
LA - eng
KW - Liouville theorem; isotropic nonlinearities; Saint-Venant property; Poincaré inequality
UR - http://eudml.org/doc/17210
ER -

References

top
  1. M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Universität Bonn, Sonderforschungsbereich 72, Preprint, No. 443. Zbl0516.49003MR0717034
  2. M. Giaquinta J. Nečas, On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, J. Reine Angew. Math. 316 (1980), 140-159. (1980) MR0581329
  3. D. Gilbarg N. S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, New lork, 1977. (1977) MR0473443
  4. P. A. Ivert, Regularitätsuntersuchungen von Lösungen elliptiseher Systeme von quasilinearen Differentialgleichungen zweiter Ordnung, Manuscripta Math.30 (1970), 53-88. (1970) MR0552363
  5. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. (1967) MR0227584
  6. J. Nečas, A neceesary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, Abh. Akad. Wiss. DDR, 1981. (1981) MR0639924
  7. J. Nečas, Régularité des solutions faibles d'équations elliptiques nonlinéaires; applications à l'élasticité, Université Paris VI, Analyse numérique et fonctionnelle, 1981. (1981) 
  8. K. Uhlenbeck, Regularity for a class- of non-linear elliptic systems, Acta Math. 138 (1977), 219-240. (1977) MR0474389

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.