A note on regularity for nonlinear elliptic systems

Josef Daněček; Eugen Viszus

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 3, page 229-237
  • ISSN: 0044-8753

Abstract

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The L 2 , λ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.

How to cite

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Daněček, Josef, and Viszus, Eugen. "A note on regularity for nonlinear elliptic systems." Archivum Mathematicum 036.3 (2000): 229-237. <http://eudml.org/doc/248518>.

@article{Daněček2000,
abstract = {The $L^\{2,\lambda \}$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.},
author = {Daněček, Josef, Viszus, Eugen},
journal = {Archivum Mathematicum},
keywords = {nonlinear equations; regularity; Morrey spaces; nonlinear partial differential equation; regularity; Morrey space},
language = {eng},
number = {3},
pages = {229-237},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on regularity for nonlinear elliptic systems},
url = {http://eudml.org/doc/248518},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Daněček, Josef
AU - Viszus, Eugen
TI - A note on regularity for nonlinear elliptic systems
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 3
SP - 229
EP - 237
AB - The $L^{2,\lambda }$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.
LA - eng
KW - nonlinear equations; regularity; Morrey spaces; nonlinear partial differential equation; regularity; Morrey space
UR - http://eudml.org/doc/248518
ER -

References

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  1. On BMO regularity for linear elliptic systems, Ann. Mat. pura ed appl. 161 (1992), 231–269. (1992) Zbl0802.35015MR1174819
  2. Sistemi ellittici in forma divergenza. Regolarita all’interno, Quaderni, Pisa, 1980. (1980) Zbl0453.35026MR0668196
  3. Regularity for nonlinear elliptic systems, Comment. Math. Univ. Carolinae 27,4 (1986), 755–764. (1986) MR0874670
  4. L 2 , λ - regularity for nonlinear elliptic systems of second order, In Applied Nonlinear Analysis, (A. Sequeira, H.B. da Veiga, J.H.Videman, eds.), Kluwer Academic/Plenum Publishers, New York, 1999, pp. 33–40. (1999) MR1727438
  5. Multiple integrals in the calculus of variations and nonlinear elliptic systems, Annals of Mathematics Studied N.105, Princenton university press, Princeton, 1983. (1983) Zbl0516.49003MR0717034
  6. Sulla regularita delle soluzioni di equazioni ellitiche negli spazi H k , λ , Ann. Sc. Norm. Sup. Pisa 21 (1967), 527–545. (1967) MR0223723
  7. Function spaces, Academia, Prague, 1977. (1977) MR0482102
  8. Introduction to the theory of nonlinear elliptic equations, Teubner-Texte zur Mathematik, Leipzig, 1983. (1983) MR0731261
  9. Some function spaces defined using the mean oscillation over cubes, Ann. Sc. Norm. Sup. Pisa 19 (1965), 593–608. (1965) Zbl0199.44303MR0190729

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