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Avantaggiati, Antonio

On compact embedding theorems in weighted Sobolev spaces. (English) Zbl 0432.46030

Czech. Math. J. 29(104), 635-648 (1979).
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Cited in 3 Documents

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
28A15 Abstract differentiation theory, differentiation of set functions

Keywords:

compact embedding theorems; weighted Sobolev spaces; uniformly absolutely continuous
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\textit{A. Avantaggiati}, Czech. Math. J. 29(104), 635--648 (1979; Zbl 0432.46030)
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References:

[1] R. A. Adams: Sobolev spaces. Academic Press, New York, San Francisco, London) · Zbl 0314.46030
[2] A. Avantaggiati: Spazi di Sobolev con peso ed alcune applicazioni. Boll. U.M.I. (5), 13-A (1976), 1-31. · Zbl 0355.46016
[3] A. Avantaggiati M. Troisi: Spazi di Sobolev con peso e problemi ellittici in un angolo I. Ann. Mat. Pura et Appl. 93 (1972), MR 48 9374. · Zbl 0274.35032
[4] V. Benci D. Fortunato: Some compact embedding theorems for weighted Sobolev spaces. U.M.I. XIII - B (1976), 261-278. · Zbl 0382.46018
[5] V. Benci D. Fortunato: Discreteness conditions of spectrum Schrödinger operators. J. of Math. Analysis and Appl. 64 (1978). · Zbl 0389.35016
[6] V. Benci D. Fortunato: Weighted Sobolev spaces and nonlinear Dirichlet problem in unbounded domains. · Zbl 0422.35038
[7] M. S. Berger M. Schechter: Embedding theorems and quasilinear elliptic boundary value problems for unbounded domains. Trans. of AMS 182 (1972), 261 - 278. · Zbl 0253.35038
[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. · Zbl 0052.05003
[9] D. E. Edmunds J. R. L. Webb: Quasilinear elliptic problems in unbounded domains. Proc. R. Soc. London, A 334 (1975), 397-410. · Zbl 0263.35034
[10] C. Miranda: Su alcuni teoremi di inclusione. Ann. Pol. Math., 16 (1965), 305-315. · Zbl 0172.40303
[11] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Masson et C. Editeurs, 1966.
[12] M. Troisi: Teoremi di inclusione negli spazi di Sobolev con peso. Ric. di Mat. 18 (1969), 49-74. · Zbl 0182.16803
[13] M. Troisi S. Matarasso: Proprietà spettrali delle equazioni ellittiche in domini non limitati. Ric. di Mat. · Zbl 0503.46021
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