An integral estimate for weak solutions to some quasilinear elliptic systems

Francesco Leonetti

Commentationes Mathematicae Universitatis Carolinae (1991)

• Volume: 32, Issue: 1, page 39-43
• ISSN: 0010-2628

Access Full Article

top

 Access to full text

 Full (PDF)

 Access to full text

Abstract

top

We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.

How to cite

top

• MLA
• BibTeX
• RIS

Leonetti, Francesco. "An integral estimate for weak solutions to some quasilinear elliptic systems." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 39-43. <http://eudml.org/doc/247268>.

@article{Leonetti1991,
abstract = {We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.},
author = {Leonetti, Francesco},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasilinear elliptic systems; weak solutions; integral estimates; regularity},
language = {eng},
number = {1},
pages = {39-43},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An integral estimate for weak solutions to some quasilinear elliptic systems},
url = {http://eudml.org/doc/247268},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Leonetti, Francesco
TI - An integral estimate for weak solutions to some quasilinear elliptic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 39
EP - 43
AB - We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.
LA - eng
KW - quasilinear elliptic systems; weak solutions; integral estimates; regularity
UR - http://eudml.org/doc/247268
ER -

References

top

1. Campanato S., Elliptic systems with nonlinearity $q$ greater or equal to two. Regularity of the solution of the Dirichlet problem, Ann. Mat. Pura Appl. 147 (1987), 117-150. (1987) Zbl0635.35038MR0916705
2. Campanato S., Fundamental interior estimates for a class of second order elliptic operators, in: Partial Differential Equations and Calculus of Variations, Essays in honor of Ennio De Giorgi, Birkhäuser, Boston, 1989. Zbl0685.35026MR1034007
3. Fusco N., Hutchinson J., Partial regularity for minimizers of certain functionals having non quadratic growth, Ann. Mat. Pura Appl. 155 (1989), 1-24. (1989) MR1042826
4. Giaquinta M., Multiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton University Press, Princeton, 1983. Zbl0516.49003MR0717034
5. Leonetti F., On the regularity of $w$-minima, to appear in Boll. Un. Mat. Ital. 
6. Morrey C.B., Jr., Multiple Integrals in the Calculus of Variations, Springer Verlag, New York, 1966. MR0202511

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.

Language to use for this widget. български (bg) čeština (cs) Deutsch (de) ελληνικά (el) English (en) español (es) français (fr) italiano (it) lietuvių kalba (lt) polski (pl) português (pt) română (ro) русский (ru) slovenčina (sk)

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

Number of notes per page 5 10 15 20

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.

OK