| Title:
|
On maximum principles and Liouville theorems for quasilinear elliptic equations and systems (English) |
| Author:
|
Kawohl, Bernhard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
24 |
| Issue:
|
4 |
| Year:
|
1983 |
| Pages:
|
647-655 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B35 |
| MSC:
|
35B50 |
| MSC:
|
35J45 |
| MSC:
|
35J55 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0543.35031 |
| idMR:
|
MR738560 |
| . |
| Date available:
|
2008-06-05T21:16:33Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106262 |
| . |
| Reference:
|
[1] J. FREHSE: On the regularity of solutions to elliptic differential inequalities.Preprint, Bonn 1981. Zbl 0482.35018, MR 0657387 |
| Reference:
|
[2] M. GIAQUTNTA: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Preprint, Bonn, 1981. |
| Reference:
|
[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 0526152 |
| Reference:
|
[4] D. GILBARG N. S. TRUDINGER: Elliptic partial differential equations of second order.Springer, Berlin etc., 1977. MR 0473443 |
| Reference:
|
[5] S. HILDEBRANDT: Nonlinear elliptic systems and harmonic mappings.Preprint, Bonn 1980. MR 0714341 |
| Reference:
|
[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 0568802 |
| Reference:
|
[7] O. JOHN: The interior regularity and the Liouville property for the quasilinear parabolic systems.Comment. Math. Univ. Carolinae 23 (1982), 685-690. Zbl 0506.35054, MR 0687563 |
| Reference:
|
[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. Zbl 0421.35023, MR 0597758 |
| Reference:
|
[9] D. KINDERLEHRER G. STAMPACCHIA: An introduction to Variational Inequalities and their Applications.Academic Press, New York, etc., 1980. MR 0567696 |
| Reference:
|
[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 0687560 |
| Reference:
|
[11] M. MEIER: Liouville theorems for nonlinear elliptic equations and systems.Manuscripta Math. 29 (1979), 207-228. Zbl 0426.35034, MR 0545042 |
| Reference:
|
[12] M. MEIER: Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions.Math. Z. 176 (1981), 123-133. Zbl 0454.35034, MR 0606175 |
| Reference:
|
[13] M. MEIER: Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems.To appear. Zbl 0556.35047, MR 0742430 |
| Reference:
|
[14] H. WIEGNER: Das Existents und Regularitätsproblem bei Systemen nichtlinearer elliptischer Differentialgleichungen.Habilitations-schrift, Bochum 1977. |
| . |
