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

Abstract

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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

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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

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  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

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