| Title:
|
On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems (English) |
| Author:
|
Kawohl, Bernhard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
679-697 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A25 |
| MSC:
|
35D10 |
| MSC:
|
35J60 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0421.35023 |
| idMR:
|
MR597758 |
| . |
| Date available:
|
2008-06-05T21:06:16Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106034 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[5] PREHSE J.: On two-dimensional quasi-linear elliptic systems.Manuscr. math. 28 (1979), 21-49. |
| Reference:
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[7] GIAQUINTA M. E. GIUSTI: Nonlinear elliptic systems with quadratic growth.Manuscr. math. 24 (1978), 323-349. MR 0481490 |
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| Reference:
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[9] GIAQUINTA M. J. NEČAS: On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations.J. Reihe Angew. Math. 316 (1980), 140-159. MR 0581329 |
| Reference:
|
[10] GIUSTI E.: Regolarità parziale delle soluzioni di sistemi ellitici quasi lineari di ordine arbitraro.Ann. Sc. Norm. Sup. Pisa (3) 23 (1969), 115-141. MR 0247258 |
| Reference:
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[11] GIUSTI E.: Un aggiunto alla mia nota: regolarità parziale delle soluzioni di sistemi ellitici quasi lineari di ordine arbitrario.Ann. Sci. Norm. Sup. Pisa (4) 27 (1973), 161-166. MR 0385297 |
| Reference:
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[12] GIUSTI E.: Precisasione delle funzioni di $H^{1,p}$ e singolarità delle soluzioni deboli di sistemi ellitici non lineari.Boll. Un. Mat. Ital. (4) 2(1969), 71-76. MR 0243190 |
| Reference:
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[13] GIUSTI E. M. MIRANDA: Sulla regolarità delle soluzioni deboli di una classe di sistend ellitici quasi-lineari.Arch. Mech. Anal. 31 (1968), 173-184. MR 0235264 |
| Reference:
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[14] GIUSTI E. M. MIRANDA: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integral e regolare del calcolo delle variazioni.Boll. Un. Mat. Ital. (4) 1 (1968), 219-226. MR 0232265 |
| Reference:
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[15] GIUSTI E. O. MODICA: A note on regular points for solutions of elliptic systems.Manuscr. math. 29 (1979), 417-426. MR 0545051 |
| Reference:
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[16] HILDEBRANDT S. K. O. WIDMAN: On the Hölder-continuity of weak solutions of quasilinear elliptic systems of second order.Ann. Sc. Norm. Sup. Pisa (4) 4 (1977), 145-178. MR 0457936 |
| Reference:
|
[17] HILDEBRANDT S. K. O. WIDMAN: Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme.Preprint 225, SFB 72, Bonn 1978. MR 0568802 |
| Reference:
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[18] LADYZENSKAYA O. A. N. N. URAL'TSEVA: Linear and quasilinear elliptic equations.Academic Press, New York 1968. MR 0244627 |
| Reference:
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[19] LAIR V. A.: Quasilinear elliptic systems.Ann. Mat. Pura Appl. (4) 116 (1978), 17-56. Zbl 0379.35029, MR 0506973 |
| Reference:
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[20] MEIER M.: Liouville theorems for nonlinear elliptic equations and systems.Manuscr. math. 29 (1979), 207-228. Zbl 0426.35034, MR 0545042 |
| Reference:
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[25] NEČAS J.: Sur la regularité des solutions variationelles des équations elliptiques non-linéaires d'ordre $2k$ en deux dimensions.Ann. Sc. Norm. Sup. Pisa (3) 21 (1967), 427-457. MR 0226467 |
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[26] NEČAS J.: A necessary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations.to appear in Abh. Akad. Wiss. DDR, Abt. Math. Naturw. Technik. MR 0639924 |
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| . |
