| Title:
|
Anisotropic Sobolev inequalities (English) |
| Title:
|
Anisotropní Sobolevovy nerovnosti (Czech) |
| Author:
|
Adams, Robert A. |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
113 |
| Issue:
|
3 |
| Year:
|
1988 |
| Pages:
|
267-279 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0663.46024 |
| idMR:
|
MR960763 |
| DOI:
|
10.21136/CPM.1988.108786 |
| . |
| Date available:
|
2009-09-23T09:47:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108786 |
| . |
| Reference:
|
[1] A. Benedek, R. Panzone: The spaces Lp with mixed norm.Duke Math. J. 28 (1961), 301-324. MR 0126155 |
| Reference:
|
[2] O. V. Besov V. P. Ilin, S. M. Nikolskii: Integral Representations of Functions and Embedding Theorems.Halsted Press, New York-Toronto-London, 1978. MR 0519341 |
| Reference:
|
[3] G. F. Duff: А general integral inequality for the derivative of an equimeasurable rearrangement.Can J. Math. 28 (1976), 793-804. Zbl 0342.26015, MR 0409745 |
| Reference:
|
[4] John J. F. Fournier: Mixed norms and reaггangements: Ѕobolev's inequality and Littlewooďs inequality.To appear Аnn. Mat. Pura Аppl. |
| Reference:
|
[5] E. Gagliardo: Propгietà di alcune classi di funzioni in più variabili.Richerche Mat. 7 (1958), 102-137. MR 0102740 |
| Reference:
|
[6] Miroslav Krbec: Ѕome imbedding theorems for anisotropic Ѕobolev spaces.Research Repoгt CMА-R53-83, Аustralian National University. |
| Reference:
|
[7] S. N. Kruzhkov, I. M. Koldii: On the theory of imbedding of anisotropic Ѕobolev spaces.Uspeki Mat. Nauk 38 (1983), No. 2, 207-208. Engl. transl. Russian Math Ѕurveys 38 (1983), No. 2, 188-189. MR 0695478 |
| Reference:
|
[8] L. Nirenberg: On elliptic paгtial differential operators.Аnnali della Ѕcuola Noгmali Ѕup. Pisa 13(1959), 116-162. MR 0109940 |
| Reference:
|
[9] J. Rakosník: Ѕome remarks to anisotгopic Ѕobolev spaces I and II.Beiträge Аnal 13 (1979), 55-68 and 15 (1980), 127-140. |
| Reference:
|
[10] S. L. Sobolev: On a theorem of functional analysis.Mat. Ѕbornik, 46 (1938), 471-496. Engl. tгansl. Аmeг. Math. Ѕoc. Transl. 34 (1963), 39-68. |
| Reference:
|
[11] Giorgio Talenti: Best constant in Ѕobolev's inequality.Аnn, Mat. Puгa Аppl. 110 (1976), 353-372. MR 0463908 |
| . |
