Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 817-841
  • ISSN: 0011-4642

Abstract

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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order q > 2 are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension n is less than or equal to q + 2 .

How to cite

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Idone, Giovanna. "Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two." Czechoslovak Mathematical Journal 54.4 (2004): 817-841. <http://eudml.org/doc/30903>.

@article{Idone2004,
abstract = {Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q>2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$.},
author = {Idone, Giovanna},
journal = {Czechoslovak Mathematical Journal},
keywords = {nonlinear elliptic systems; regularity up to the boundary; nonlinear elliptic systems; regularity up to the boundary},
language = {eng},
number = {4},
pages = {817-841},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two},
url = {http://eudml.org/doc/30903},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Idone, Giovanna
TI - Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 817
EP - 841
AB - Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q>2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$.
LA - eng
KW - nonlinear elliptic systems; regularity up to the boundary; nonlinear elliptic systems; regularity up to the boundary
UR - http://eudml.org/doc/30903
ER -

References

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  6. Un esempio di estremali discontinue per un problema variazionale di tipo ellittico, Boll. Un. Mat. Ital. 1 (1968), 135–137. (1968) MR0227827
  7. Hölder regularity for nonlinear nonhomogeneous elliptic systems, Le Matematiche 50 (1995), 285–306. (1995) MR1414636
  8. On the boundedness of weak solutions of higher order nonlinear elliptic partial differential equations, Boll. Un. Mat. Ital. 4 (1970), 607–627. (1970) Zbl0203.41303MR0274938
  9. 10.1007/BF02391014, Acta Math. 111 (1964), 247–302. (1964) MR0170096DOI10.1007/BF02391014
  10. 10.1007/BF01367766, Manuscripta Math. 5 (1971), 299–308. (1971) Zbl0223.35044MR0296484DOI10.1007/BF01367766

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