# An integral estimate for weak solutions to some quasilinear elliptic systems

Commentationes Mathematicae Universitatis Carolinae (1991)

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

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topLeonetti, 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- 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
- 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
- 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
- Giaquinta M., Multiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton University Press, Princeton, 1983. Zbl0516.49003MR0717034
- Leonetti F., On the regularity of $w$-minima, to appear in Boll. Un. Mat. Ital.
- Morrey C.B., Jr., Multiple Integrals in the Calculus of Variations, Springer Verlag, New York, 1966. MR0202511

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