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Title: On compact embedding theorems in weighted Sobolev spaces (English)
Author: Avantaggiati, Antonio
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 29
Issue: 4
Year: 1979
Pages: 635-648
Summary lang: Russian
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Category: math
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MSC: 46E35
idZBL: Zbl 0432.46030
idMR: MR548224
DOI: 10.21136/CMJ.1979.101643
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Date available: 2008-06-09T14:36:42Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101643
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Reference: [1] R. A. Adams: Sobolev spaces.Academic Press, New York, San Francisco, London, (1975). Zbl 0314.46030, MR 0450957
Reference: [2] A. Avantaggiati: Spazi di Sobolev con peso ed alcune applicazioni.Boll. U.M.I. (5), 13-A (1976), 1-31. Zbl 0355.46016, MR 0423064
Reference: [3] A. Avantaggiati M. Troisi: Spazi di Sobolev con peso e problemi ellittici in un angolo I.Ann. Mat. Рurа et Appl. 93 (1972), MR 48 9374. MR 0331039
Reference: [4] V. Benci D. Fortunato: Some compact embedding theorems for weighted Sobolev spaces.U.M.I. XIII - В (1976), 261-278. MR 0435825
Reference: [5] V. Benci D. Fortunato: Discreteness conditions of spectrum Schrödinger operators.J. of Math. Analysis and Appl. 64 (1978). MR 0481616
Reference: [6] V. Benci D. Fortunato: Weighted Sobolev spaces and nonlinear Dirichlet problem in unbounded domains.(to appear in Ann. Mat. Рurа et Appl.). MR 0554783
Reference: [7] M. S. Berger M. Schechter: Embedding theorems and quasilinear elliptic boundary value problems for unbounded domains.Trans. of AMS 182 (1972), 261 - 278. MR 0312241
Reference: [8] F. Cafiero: Sul passaggio al limite sotto il segno di integrale per successioni di integrali di Stielties-Lebesgue negli spazi con masse variabili con gli integrandi.Rend. Sem. Mat. Padova, 22 (1953), 223-245. MR 0057951
Reference: [9] D. E. Edmunds J. R. L. Webb: Quasilinear elliptic problems in unbounded domains.Proc. R. Soc. London, A 334 (1975), 397-410. MR 0387809
Reference: [10] C. Miranda: Su alcuni teoremi di inclusione.Ann. Pol. Math., 16 (1965), 305-315. Zbl 0172.40303, MR 0187077, 10.4064/ap-16-3-305-315
Reference: [11] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Masson et C. Editeurs, 1966. MR 0227584
Reference: [12] M. Troisi: Teoremi di inclusione negli spazi di Sobolev con peso.Ric. di Mat. 18 (1969), 49-74. Zbl 0182.16803, MR 0412802
Reference: [13] M. Troisi S. Matarasso: Proprietà spettrali delle equazioni ellittiche in domini non limitati.Ric. di Mat. (to appear).
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