On -regularity for the gradient of a weak solution to nonlinear elliptic systems
Commentationes Mathematicae Universitatis Carolinae (1996)
- Volume: 37, Issue: 3, page 523-536
- ISSN: 0010-2628
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topDaněček, Josef. "On $\mathcal {L}_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems." Commentationes Mathematicae Universitatis Carolinae 37.3 (1996): 523-536. <http://eudml.org/doc/247894>.
@article{Daněček1996,
abstract = {Interior $\mathcal \{L\}_\{loc\}^\{2,n\}$-regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.},
author = {Daněček, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonlinear elliptic system; regularity; Campanato-Morrey spaces; nonlinear elliptic system; regularity; Campanato-Morrey spaces},
language = {eng},
number = {3},
pages = {523-536},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On $\mathcal \{L\}_\{loc\}^\{2,n\}$-regularity for the gradient of a weak solution to nonlinear elliptic systems},
url = {http://eudml.org/doc/247894},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Daněček, Josef
TI - On $\mathcal {L}_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 3
SP - 523
EP - 536
AB - Interior $\mathcal {L}_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.
LA - eng
KW - nonlinear elliptic system; regularity; Campanato-Morrey spaces; nonlinear elliptic system; regularity; Campanato-Morrey spaces
UR - http://eudml.org/doc/247894
ER -
References
top- Campanato S., Sistemi ellittici in forma divergenza. Regolarita all'interno, Quaderni Pisa (1980). (1980) Zbl0453.35026MR0668196
- Campanato S., Hölder continuity of the solutions of some non-linear elliptic systems, Adv. Math. 48 (1983), 16-43. (1983) MR0697613
- Giaquinta M., Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Annals of Mathematics Studies N.105 Princeton University Press Princeton (1983). (1983) Zbl0516.49003MR0717034
- Grevholm B., On the structure of the spaces , Math. Scand. 26 (1970), 189-196. (1970) MR0275146
- Kokilashvili V., Krbec M., Weighted Norm Inequalities in Lorentz and Orlicz Spaces, World Scientific London (1991). (1991) MR1156767
- Kufner A., John O., Fučík S., Function Spaces, Academia Prague (1977). (1977) MR0482102
- Morrey C.B., Jr., Multiple Integrals in the Calculus of Variations, Springer-Verlag Heidelberg (1966). (1966) Zbl0142.38701MR0202511
- Nečas J., Introduction to the Theory of Nonlinear Elliptic Equations, Teubner-Texte zur Mathematik Band 52 Leipzig (1983). (1983) MR0731261
- Ziemer W.P., Weakly Differentiable Functions, Springer-Verlag Heidelberg (1989). (1989) Zbl0692.46022MR1014685
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