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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