| Title:
|
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients (English) |
| Author:
|
Canfora, Albino |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
385-422 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B45 |
| MSC:
|
35J15 |
| idZBL:
|
Zbl 0711.35039 |
| idMR:
|
MR1006306 |
| DOI:
|
10.21136/CMJ.1989.102312 |
| . |
| Date available:
|
2008-06-09T15:27:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102312 |
| . |
| Reference:
|
[1] R. A. Adams: Sobolev Spaces.Academic Press, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] A. Alvino G. Trombetti: Second order elliptic equations whose coefficients have their first derivatives weakly-$L^n$.Ann. Mat. Pura Appl. (IV), Vol. CXXXVIII, pp. 331-340, 1984. MR 0779550 |
| Reference:
|
[3] P. Buonocore: Second order elliptic equations whose coefficients have their first derivatives in the Lorenz spaces.Mathematical Depart. of Naples University, Preprint n. 41, 1983. MR 0766678 |
| Reference:
|
[4] E. Gagliardo: Ulteriori proprietà di alcune classi di funzioni in più variabili.Ricerche di Matematica, Vol. VIII, pp. 24-51, 1959. Zbl 0199.44701, MR 0109295 |
| Reference:
|
[5] D. Gilbarg N. S. Trudinger: Elliptic partial differential equations of second order.Springer-Verlag, Berlin, 1977. MR 0473443 |
| Reference:
|
[6] G. H. Hardy J. E. Littlewood G. Polya: Inequalities.Cambridge University Press, 1964. |
| Reference:
|
[7] C. Miranda: Su alcune diseguaglianze integrali.Memorie Accademia dei Lincei, 7, pp. 1-14, 1963. Zbl 0196.41402, MR 0188578 |
| Reference:
|
[8] C. Miranda: Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui.Ann. Mat. Pura Appl. 63, pp. 353-386, 1963. Zbl 0156.34001, MR 0170090, 10.1007/BF02412185 |
| Reference:
|
[9] C. Miranda: Equazioni lineari ellittiche di tipo non variazionale.Rend. Sem. Mat. Milano, 32, 1963. Zbl 0156.33902, MR 0164127 |
| Reference:
|
[10] J. Nečas: Les méthodes directes en théorie des équationes elliptiques.Masson et Cie, Editeurs Paris, Academia Editeurs Prague, 1967. MR 0227584 |
| Reference:
|
[11] L. Nirenberg: On elliptic partial differential equations.Annali Sc. Normale Sup. Pisa, 13, pp. 123-131, 1959. Zbl 0088.07601, MR 0109940 |
| Reference:
|
[12] C. G. Simader: On Dirichleťs boundary value problem.Springer-Verlag, Berlin, 1972. MR 0473503 |
| Reference:
|
[13] G. Talenti: Elliptic equations and rearrangements.Annali Sc. Normale Sup. Pisa, 3, pp. 697-718, 1976. Zbl 0341.35031, MR 0601601 |
| Reference:
|
[14] G. Talenti: Sopra una classe di equazioni ellittiche a coefficienti misurabili.Ann. Mat. Pura Appl. 69, pp. 285-304, 1965. Zbl 0145.36602, MR 0201816, 10.1007/BF02414375 |
| Reference:
|
[15] M. Troisi: Teoremi di inclusione per spazi di Sobolev non isotropi.Ricerche di Matematica, Vol. XVIII, pp. 3-24, 1969. Zbl 0182.16802, MR 0415302 |
| . |
