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Adams, Robert A. Anisotropic Sobolev inequalities. Časopis pro pěstování matematiky, Tome 113 (1988) no. 3, pp. 267-279. doi: 10.21136/CPM.1988.108786
@article{10_21136_CPM_1988_108786,
author = {Adams, Robert A.},
title = {Anisotropic {Sobolev} inequalities},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {267--279},
year = {1988},
volume = {113},
number = {3},
doi = {10.21136/CPM.1988.108786},
mrnumber = {960763},
zbl = {0663.46024},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1988.108786/}
}
[1] A. Benedek, R. Panzone: The spaces Lp with mixed norm. Duke Math. J. 28 (1961), 301-324. | MR
[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
[3] G. F. Duff: А general integral inequality for the derivative of an equimeasurable rearrangement. Can J. Math. 28 (1976), 793-804. | MR | Zbl
[4] John J. F. Fournier: Mixed norms and reaггangements: Ѕobolev's inequality and Littlewooďs inequality. To appear Аnn. Mat. Pura Аppl.
[5] E. Gagliardo: Propгietà di alcune classi di funzioni in più variabili. Richerche Mat. 7 (1958), 102-137. | MR
[6] Miroslav Krbec: Ѕome imbedding theorems for anisotropic Ѕobolev spaces. Research Repoгt CMА-R53-83, Аustralian National University.
[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
[8] L. Nirenberg: On elliptic paгtial differential operators. Аnnali della Ѕcuola Noгmali Ѕup. Pisa 13(1959), 116-162. | MR
[9] J. Rakosník: Ѕome remarks to anisotгopic Ѕobolev spaces I and II. Beiträge Аnal 13 (1979), 55-68 and 15 (1980), 127-140.
[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.
[11] Giorgio Talenti: Best constant in Ѕobolev's inequality. Аnn, Mat. Puгa Аppl. 110 (1976), 353-372. | MR
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