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Title

On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle

Authors 1

Affiliations

  1. Department of Mathematics, University of Rostock, Universitätsplatz 1, D-O-2500 Rostock, Germany

Bibliography

  1. P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, Boston 1985.
  2. V. A. Kondrat'ev, Boundary value problems for elliptic equations on domains with conical or corner points, Trudy Moskov. Mat. Obshch. 26 (1967), 209-292 (in Russian).
  3. V. G. Maz'ya and B. A. Plamenevskiĭ, Lp and Hölder estimates and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in a domain with singular points on the boundary, Math. Nachr. 81 (1978), 25-82 (in Russian).
  4. V. G. Maz'ya and B. A. Plamenevskiĭ, Lp-estimates for elliptic boundary value problems in domains with edges, Trudy Moskov. Mat. Obshch. 37 (1978), 49-93 (in Russian).
  5. V. G. Maz'ya and B. A. Plamenevskiĭ, Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points, in: Vorträge der Tagung 'Elliptische Differentialgleichungen', Rostock 1977, 161-190 (in Russian).
  6. V. G. Maz'ya und J. Roßmann, Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten, Math. Nachr. 138 (1988), 27-53.
  7. V. A. Nikishkin, Singularities of the solution of the Dirichlet problem for second order elliptic differential equations in the neighbourhood of an edge, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 34 (2) (1979), 51-62 (in Russian).
  8. J. Roßman, Über zwei Klassen von gewichteten Sobolevräumen in ebenen Gebieten mit Ecken und Anwendungen auf elliptische Randwertaufgaben, Rostock. Math. Kolloq. 29 (1986), 78-98.
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  11. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, Deutscher Verlag Wiss., Berlin 1978.
Banach Center Publications
1992/27/2
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Pages:
399-424
Main language of publication
English
Published
1992
Exact and natural sciences