On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property
Giaquinta, Mariano ; Nečas, Jindřich
Commentationes Mathematicae Universitatis Carolinae, Tome 020 (1979), p. 111-121 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1979-01-01
Classification:  35B65,  35D05,  35D10,  35J60 
@article{105907,
     author = {Mariano Giaquinta and Jind\v rich Ne\v cas},
     title = {On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {020},
     year = {1979},
     pages = {111-121},
     zbl = {0396.35047},
     mrnumber = {526152},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105907}
}

Giaquinta, Mariano; Nečas, Jindřich. On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property. Commentationes Mathematicae Universitatis Carolinae, Tome 020 (1979) pp. 111-121. http://gdmltest.u-ga.fr/item/105907/

O. A. Ladyženskaja N. N. Ural'Ceva Linejnye i kvazilinejnye uravnenija elliptičeskogo tipa, Moscow (1973), 2-nd edition. (1973)

Ch. B. Morrey Differentiability theorems for weak solutions of nonlinear elliptic differential equations, BAMS, Vol. 75 (1969), 684-705. (1969) | MR 0246182 | Zbl 0181.38001

E. De Giorgi Sulla differenziabilità e analiticità delle estremali degli integrali multipli regolari, Mem. Acad. Sci. Torino Cl. Sci. Fis. Mat. Nat. (3), 3 (1957), 25-43. (1957) | MR 0093649

J. Nečas Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, Theory of Nonlinear Operators, Abhandlungen der Akademie der Wissenschaften der DDR, Jahrg. 1977, Nr. 1N, 197-206. (1977) | MR 0509483

M. Giaquinta Sistemi ellittici non lineari, Convegne su: Sistemi ellittici non lineari ed applicazieni, Università di Ferrara, Editrice Universitaria, 1978. (1978)

J. Nečas On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems, Proceedings of Equadiff IV, Prague 1977, to appear in Springs 1979. (1977) | MR 0535349

Gh. B. Morrey Partial regularity results for nonlinear elliptic systems, Journ. Math. and Mech. 17 (1968). (1968)

E. Giusti M. Miranda Sulla regelarità delle soluzioni deboli di una classe di sistemi ellittici quasi lineari, Arch. Rat. Mech. and Anal. 31 (1968). (1968) | MR 0235264

E. Giusti Regolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Scuola Norm. Sup. Pisa 23 (1969). (1969) | MR 0247258

S. Campanato Equazioni ellitiche del II ordine e spazi $L^{2,\lambda }$, Ann. Mat. Pura e Appl. 69 (1965). (1965) | MR 0192168