Geodesic
On the Compactness of Embeddings of Weighted Sobolev Spaces on a~Domain with Irregular Boundary
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 72-93

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions are established for the compactness of the embedding of the weighted Sobolev spaces $W_p^s$, $s\in\mathbb N$, into the weighted Lebesgue space $L_q$ for domains with irregular boundaries, in particular, for a cusp domain. The conditions imposed on the domain are formulated in simple geometrical terms (of a degenerate flexible cone). 
@article{TM_2001_232_a8,
     author = {O. V. Besov},
     title = {On the {Compactness} of {Embeddings} of {Weighted} {Sobolev} {Spaces} on {a~Domain} with {Irregular} {Boundary}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {72--93},
     publisher = {mathdoc},
     volume = {232},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2001_232_a8/}
}
TY  - JOUR
AU  - O. V. Besov
TI  - On the Compactness of Embeddings of Weighted Sobolev Spaces on a~Domain with Irregular Boundary
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2001
SP  - 72
EP  - 93
VL  - 232
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2001_232_a8/
LA  - ru
ID  - TM_2001_232_a8
ER  - 
%0 Journal Article
%A O. V. Besov
%T On the Compactness of Embeddings of Weighted Sobolev Spaces on a~Domain with Irregular Boundary
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2001
%P 72-93
%V 232
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2001_232_a8/
%G ru
%F TM_2001_232_a8
O. V. Besov. On the Compactness of Embeddings of Weighted Sobolev Spaces on a~Domain with Irregular Boundary. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 72-93. http://geodesic.mathdoc.fr/item/TM_2001_232_a8/