| Title:
|
Nowhere continuous solutions to elliptic systems (English) |
| Author:
|
John, Oldřich |
| Author:
|
Malý, Jan |
| Author:
|
Stará, Jana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
33-43 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D10 |
| MSC:
|
35J45 |
| MSC:
|
35J50 |
| idZBL:
|
Zbl 0691.35024 |
| idMR:
|
MR995699 |
| . |
| Date available:
|
2008-06-05T21:36:27Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106701 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/106652 |
| . |
| Reference:
|
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| Reference:
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[2] Denjoy A.: Sur les functions dérivées sommables.Bull. Soc. math. France 43 (1915), 161-248. MR 1504743 |
| Reference:
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[3] Deny J., Lions J. L.: Les espaces du type Beppo Levi.Ann. Inst. Fourier 5 (1955), 305-370. MR 0074787 |
| Reference:
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[4] Douglis A., Nirenberg L.: Interior estimates for elliptic systems of partial differential equations.Comm. Pure Appl. Math. 8 (1955), 503-538. Zbl 0066.08002, MR 0075417 |
| Reference:
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[5] Federer H., Ziemer W. P.: The Lebesque set of a function whose distribution derivatives are p-th power summable.Indiana Univ. Math. J. 22 (2) (1972), 139-158. MR 0435361 |
| Reference:
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| Reference:
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[7] Frostman O.: Potentials d'équilibre et capacité des ensembles avec quelques applications a la théorie des fonctions.Meddel. Lunds Univ. Matem. Sem. 3 (1935). |
| Reference:
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[8] Fuglede B.: The quasi topology associated with a countably subaditive set function.Ann. Inst. Fourier 21 (1971), 123-169. MR 0283158 |
| Reference:
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[9] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Annals of Math. Studies 105, Princeton University Press, Princeton (1983). Zbl 0516.49003, MR 0717034 |
| Reference:
|
[10] Giusti E.: Precisazione delle funzioni $H^{1,p} e singolarita delle soluzioni deboli di sistemi ellittici non lineari.Boll. U.M.I. 2 (1969), 71-76. MR 0243190 |
| Reference:
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[11] Giusti E.: Regolarita parziale delle soluzioni di sistemi ellittici quasilineari di ordine arbttrario.Ann. Sc. Norm. Sup. Pisa 23 (1969), 115-141. MR 0247258 |
| Reference:
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[12] Giusti E., Miranda M.: Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrate regolare del calcolo delle variazioni.Boll. U.M.I. 2 (1968), 1-8. MR 0232265 |
| Reference:
|
[13] Koshelev A. I.: Regularity of solutions of quasilinear elliptic systems.Uspekhi Mat. Nauk 33 (1978), 3-49; Engl. trans. Russian Math. Survey 33 (1978), 1-52. MR 0510669 |
| Reference:
|
[14] Malý J.: Nonisolated singularities of solutions to a quasilinear elliptic system.Comment. Math. Univ. Carolinae 29, 3 (1988), 421-426. MR 0972826 |
| Reference:
|
[15] Mazja V. G., Havin V. P.: Nonlinear potential theory.(Russian), Uspekhi Mat. Nauk 27, 6 (1972), 67-138. MR 0409858 |
| Reference:
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[16] Meyers N. G.: An $L^p$ -estimate for the gradient of solutions of second order elliptic divergence equations.Ann. Sc. Norm Sup. Pisa (3) 17 (1963), 189-206. MR 0159110 |
| Reference:
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[17] Meyers N. G.: Continuity properties of potentials.Duke Math. J. 42 (1975), 157-166. Zbl 0334.31004, MR 0367235 |
| Reference:
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[18] Morrey C. B.: Second order elliptic systems of differential equations.Ann. of Math. Studies No 33, Princeton University Press (1954), 101-159. Zbl 0057.08301, MR 0068091 |
| Reference:
|
[19] Souček J.: Singular solution to linear elliptic systems.Comment. Math. Univ. Carolinae 25 (1984), 273-281. MR 0768815 |
| . |
