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Compact embeddings of some weighted Sobolev spaces on ℝN

Published online by Cambridge University Press:  24 October 2008

Raffaele Chiappinelli
Raffaele Chiappinelli
Affiliation:
Dipartimento di Matematica, Università della Calabria, 87030 Rende (CS)
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Extract

Let ρ,ρ0,ρ1 be positive, measurable functions on ℝN. For 1 ≤ t < ∞, consider the weighted Lebesgue and Sobolev spaces

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 2 , March 1995 , pp. 333 - 338
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

[BF1]Benci, V. and Fortunato, D.. Second order elliptic operators on unbounded domains. Boll. Un. Mat. Ital. (5) 15-B (1978), 193–209.Google Scholar
[BF2]Benci, V. and Fortunato, D.. Discreteness conditions on the spectrum of Schrödinger operators. J. Math. Anal. Appl. 64 (1978), 695–700.CrossRefGoogle Scholar
[BS]Berger, M. B. and Schechter, M.. Embedding theorems and quasilinear elliptic boundary value problems for unbounded domains. Trans. Amer. Math. Soc. 172 (1972), 261–278.CrossRefGoogle Scholar
[CE]Chiappinelli, R. and Edmunds, D. E.. Eigenvalue asymptotics and a non-linear Schrödinger equation. Israel J. Math. 81 (1993), 1797–192.CrossRefGoogle Scholar
[EE]Edmunds, D. E. and Evans, W. D.. Spectral Theory and Differential Operators. (Oxford, 1987).Google Scholar