Sobolev embeddings for generalized ridged domains

Proceedings of the London Mathematical Society

Volumn s3-54, Issue 1, 1987, Pages 141-175

  Evans, W D ^a   Harris, D J ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84959822569     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/plms/s3-54.1.141     Document Type: Article

References (18)

1. R. A. Adams, Sobolev spaces (Academic Press, New York, 1975).
2. C. J. Amick, ‘Some remarks on Rellich’s theorem and the Poincaré inequality’, J. London Math. Soc. (2) 18 (1978) 81-93.
3. H. Blum, ‘Biological shape and visual science (Part I)’, J. Theoret. Biol. 38 (1973) 205-287.
4. F. L. Bookstein, ‘The line-skeleton’, Comput. Graph, and Image Processing 11 (1979) 123-37.
5. J. W. Bruce, P. J. Giblin, and C. G. Gibson, ‘Symmetry sets’, Proc. Roy. Soc. Edinburgh Sect. A 101 (1985) 163-186.
6. L. A. Caffarelli and A. Friedman, “The free boundary for elastic-plastic torsion problems’, Trans. Amer. Math. Soc. 252 (1979) 65-97.
7. R. A. Chisholm and W. N. Everitt, ‘On bounded integral operators in the space of integrable-square functions’, Proc. Roy. Soc. Edinburgh Sect. A 69, 15 (1970/71) 199-204.
8. R. Courant and D. Hilbert, Methoden der mathematischen Physik II (Springer, Berlin, 1937).
9. D. E. Edmunds and W. D. Evans, ‘Spectral theory and embeddings of Sobolev spaces’, Quart. J. Math. Oxford (2) 30 (1979) 431-453.
10. L. E. Fraenkel, ‘On regularity of the boundary in the theory of Sobolev spaces’, Proc. London Math. Soc. (3) 39 (1979) 385-427.
11. D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order (Springer, Berlin, 1977).
12. A. Grothendieck, Produits tensoriels topologiques et espaces nucleaires (American Mathematical Society, Providence, R. I., 1966).
13. T. Kato, Perturbation theory for linear operators, 2nd edn (Springer, Berlin, 1976).
14. N. G. Meyers and J. Serrin, ‘H=W’, Proc. Nat. Acad. Sci. U.S.A. 51 (1964) 1055-1056.
15. D. Milman, ‘Eine geometrische Ungleichung und ihre Anwendung. (Die zentrale Menge des Gebiets und die Erkennung des Gebiets durch sie.)’, General inequalities, Vol. 2 (ed. E. F. Beckenbach), International Series of Numerical Mathematics 47 (Birkhäuser, Boston, 1980), pp. 357-366.
16. E. M. Stein, Singular integrals and differentiability properties of functions (Princeton University Press, 1970).
17. C. A. Stuart, ‘The measure of non-compactness of some linear integral operators’, Proc. Roy. Soc. Edinburgh Sect. A 71, 15 (1972/3) 167-179.
18. T. W. Ting, ‘The ridge of a Jordan domain and completely plastic torsion’, J. Math. Mech. 15 (1966) 15-47.