Compact imbedding theorems for quasibounded domains
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- by Robert A. Adams PDF
- Trans. Amer. Math. Soc. 148 (1970), 445-459 Request permission
References
- Robert A. Adams, Compact Sobolev imbeddings for unbounded domains, Pacific J. Math. 32 (1970), 1–7. MR 257724
- Robert A. Adams, Compact Sobolev imbeddings for unbounded domains with discrete boundaries, J. Math. Anal. Appl. 24 (1968), 326–333. MR 240612, DOI 10.1016/0022-247X(68)90034-6
- Robert A. Adams, The Rellich-Kondrachov theorem for unbounded domains, Arch. Rational Mech. Anal. 29 (1968), 390–394. MR 227765, DOI 10.1007/BF00283902
- Robert A. Adams, Compact Sobolev imbeddings for pepper sets, J. Math. Anal. Appl. 27 (1969), 405–408. MR 244758, DOI 10.1016/0022-247X(69)90056-0
- Felix E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1960/61), 22–130. MR 209909, DOI 10.1007/BF01343363
- Colin Clark, An embedding theorem for function spaces, Pacific J. Math. 19 (1966), 243–251. MR 205111
- Colin Clark, Rellich’s embedding theorem for a “spiny urchin”, Canad. Math. Bull. 10 (1967), 731–734. MR 226399, DOI 10.4153/CMB-1967-075-6 —, Some embedding theorems for Sobolev spaces, (to appear). V. I. Kondrašov, On certain properties of functions in the space ${L_p}$, Dokl. Akad. Nauk SSSR 48 (1945), 563-566.
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 148 (1970), 445-459
- MSC: Primary 46.38
- DOI: https://doi.org/10.1090/S0002-9947-1970-0257723-2
- MathSciNet review: 0257723