On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems
Daněček, Josef
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 523-536 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

Interior $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.

Publié le : 1996-01-01
Classification:  35B65,  35D10,  35J60 
@article{118860,
     author = {Josef Dan\v e\v cek},
     title = {On $\Cal L\_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {523-536},
     zbl = {0881.35035},
     mrnumber = {1426918},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118860}
}

Daněček, Josef. On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 523-536. http://gdmltest.u-ga.fr/item/118860/

Campanato S. Sistemi ellittici in forma divergenza. Regolarita all'interno, Quaderni Pisa (1980). (1980) | MR 0668196 | Zbl 0453.35026

Campanato S. Hölder continuity of the solutions of some non-linear elliptic systems, Adv. Math. 48 (1983), 16-43. (1983) | MR 0697613

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) | MR 0717034 | Zbl 0516.49003

Grevholm B. On the structure of the spaces $\Cal L_k^{p,\lambda }$, Math. Scand. 26 (1970), 189-196. (1970) | MR 0275146

Kokilashvili V.; Krbec M. Weighted Norm Inequalities in Lorentz and Orlicz Spaces, World Scientific London (1991). (1991) | MR 1156767

Kufner A.; John O.; Fučík S. Function Spaces, Academia Prague (1977). (1977) | MR 0482102

Morrey C.B., Jr. Multiple Integrals in the Calculus of Variations, Springer-Verlag Heidelberg (1966). (1966) | MR 0202511 | Zbl 0142.38701

Nečas J. Introduction to the Theory of Nonlinear Elliptic Equations, Teubner-Texte zur Mathematik Band 52 Leipzig (1983). (1983) | MR 0731261

Ziemer W.P. Weakly Differentiable Functions, Springer-Verlag Heidelberg (1989). (1989) | MR 1014685 | Zbl 0692.46022