| Title:
|
Counterexample to the regularity of weak solution of elliptic systems (English) |
| Author:
|
Nečas, Jindřich |
| Author:
|
John, Oldřich |
| Author:
|
Stará, Jana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
145-154 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0442.35034 |
| idMR:
|
MR566246 |
| . |
| Date available:
|
2008-06-05T21:03:59Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105983 |
| . |
| Reference:
|
[1] De GIORGI E.: Sulla differenziabilità e l'analicità delle estremali degli integrali multipli regolari.Mem. Acad. Sci. Torino 3 (1957), 25-43, Matematika 4 (1960), 25-38. MR 0093649 |
| Reference:
|
[2] De GIORGI E.: Un esempio di estremali discontinue per un problema variazionale di tipo ellittico.Boll. Unione Mat. Italiana 1 (1968), 135-138. MR 0227827 |
| Reference:
|
[3] GIUSTI E., MIRANDA M.: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrále regolare del calcolo delle variazioni.Boll. Unione Mat. Italiana (4) 1 (1968), 219-227. Zbl 0155.44501, MR 0232265 |
| Reference:
|
[4] KOŠELEV A. I.: Regularnosť rešenij kvasilinějnych eliptičeskich sistem.Uspechi mat. nauk 23 (1978), 3-49. MR 0510669 |
| Reference:
|
[5] LADYŽENSKAJA O. A., URAL'CEVA N. N.: Linějnyje i kvasilinějnyje uravněnija eliptičeskogo tipa.Nauka, Moskva 1964. MR 0211073 |
| Reference:
|
[6] MORREY Ch. B.: Differentiability theorems for weak solutions of nonlinear elliptic differential equations.Bull. Am. Math. Soc. 75 (1969), 684-705. Zbl 0181.38001, MR 0246182 |
| Reference:
|
[7] MORREY Ch. B.: Existence and differentiability theorems for the solutions of variational problems for multiple integrals.Bull. Am. Math. Soc. 46 (1940), 439-458. Zbl 0063.04105, MR 0002473 |
| Reference:
|
[8] NASH J.: Continuity of solutions of parabolic and elliptic equations.Amer. J. Math. 80 (1950),931-954. MR 0100158 |
| Reference:
|
[9] NEČAS J.: Sur la régularité des solutions variationalles des équations elliptiques non-linéaires d'ordre $2k$ en deux dimensions.Annali Sc. Norm. Sup. Pisa 21 (1967), 427-457. MR 0226467 |
| Reference:
|
[10] NEČAS J.: Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity.Abh. Deutsch. Akad. Wiss. Berlin K1. Math. Phys. Tech., 1977, 1N, 197-206. MR 0509483 |
| . |
