Geodesic
Boundary Regularity in the Sobolev Imbedding Theorems
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 350-356

Voir la notice de l'article provenant de la source Cambridge University Press

In (6) (see also 7), Sobolev introduced a class of function spaces Wm,p(Ω) (m a non-negative integer, 1 < p < ∞) defined on open subsets Ω of Euclidean space En, which have important applications in partial differential equations. They are defined as follows. For each n-tuple α = (α1, ... αn ) of non-negative integers let 
Hurd, A. E. Boundary Regularity in the Sobolev Imbedding Theorems. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 350-356. doi: 10.4153/CJM-1966-037-8
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[1] 1. Gagliardo, E., Proprieta di alcune classi difunzioni in più variabilis Ricerche Mat., 7 (1958), 102–137. Google Scholar

[2] 2. Kantorovich, L. V., On integral operators, Uspehi Mat. Nauk, 11.2 (68) (1956), 3–29 (Russian). Google Scholar

[3] 3. Meyers, N. and Serrin, J., H = W, Proc. Nat. Acad. Sci. U.S.A., 51 (6) (1964), 1055-56. Google Scholar

[4] 4. Nirenberg, L., Estimates and existence of solutions of elliptic equations, Comm. Pure Appl. Math., 9 (1956), 509–529. Google Scholar

[5] 5. Riesz, M., Sur les ensembles compacts de fonctions sommables, Acta Litt. Ac. Sc. Regiae Univ. Hungaricae F. J. Sectio Sc. Mat. (Szeged), 6 (1932-34), 136–142. Google Scholar

[6] 6. Sobolev, S. L., On a theorem of functional analysis, Mat. Sb. 4 (46) (1938), 471–497 (Russian). Google Scholar

[7] 7. Sobolev, S. L., Applications of functional analysis in mathematical physics (Providence, 1963). Google Scholar

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