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Kawohl, Bernhard. On maximum principles and Liouville theorems for quasilinear elliptic equations and systems. Commentationes Mathematicae Universitatis Carolinae, Tome 24 (1983) no. 4, pp. 647-655. http://geodesic.mathdoc.fr/item/CMUC_1983_24_4_a5/
@article{CMUC_1983_24_4_a5,
author = {Kawohl, Bernhard},
title = {On maximum principles and {Liouville} theorems for quasilinear elliptic equations and systems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {647--655},
year = {1983},
volume = {24},
number = {4},
mrnumber = {738560},
zbl = {0543.35031},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1983_24_4_a5/}
}
TY - JOUR AU - Kawohl, Bernhard TI - On maximum principles and Liouville theorems for quasilinear elliptic equations and systems JO - Commentationes Mathematicae Universitatis Carolinae PY - 1983 SP - 647 EP - 655 VL - 24 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1983_24_4_a5/ LA - en ID - CMUC_1983_24_4_a5 ER -
[1] J. FREHSE: On the regularity of solutions to elliptic differential inequalities. Preprint, Bonn 1981. | MR | Zbl
[2] M. GIAQUTNTA: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Preprint, Bonn, 1981.
[3] M. GIAQUTNTA J. NEČAS: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property. Comment. Math. Univ. Carolinae 20 (1979), 111-121. | MR
[4] D. GILBARG N. S. TRUDINGER: Elliptic partial differential equations of second order. Springer, Berlin etc., 1977. | MR
[5] S. HILDEBRANDT: Nonlinear elliptic systems and harmonic mappings. Preprint, Bonn 1980. | MR
[6] S. HILDEBRANDT K. O. WIDMAN: Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systems. Nachr. Akad. Wiss. Göttingen, II. Math. Phys. Kl. 4 (1979), 41-59. | MR
[7] O. JOHN: The interior regularity and the Liouville property for the quasilinear parabolic systems. Comment. Math. Univ. Carolinae 23 (1982), 685-690. | MR | Zbl
[8] B. KAWOHL: On Liouville-theorem, continuity and Hölder-continuity of weak solutions to some quasilinear elliptic systems. Comment. Math. Univ. Carolinae 21 (1980), 679-697. | MR | Zbl
[9] D. KINDERLEHRER G. STAMPACCHIA: An introduction to Variational Inequalities and their Applications. Academic Press, New York, etc., 1980. | MR
[10] P. L. LIONS J. NEČAS I. NETUKA: A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities. Comment. Math. Univ. Carolinae 23 (1982), 645-655. | MR
[11] M. MEIER: Liouville theorems for nonlinear elliptic equations and systems. Manuscripta Math. 29 (1979), 207-228. | MR | Zbl
[12] M. MEIER: Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions. Math. Z. 176 (1981), 123-133. | MR | Zbl
[13] M. MEIER: Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems. To appear. | MR | Zbl
[14] H. WIEGNER: Das Existents und Regularitätsproblem bei Systemen nichtlinearer elliptischer Differentialgleichungen. Habilitations-schrift, Bochum 1977.