Geodesic
Boundary behavior of functions from Sobolev classes defined on domains with exterior peak
Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 70-98

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We establish an invertible characteristic of the boundary behavior of functions from Sobolev spaces defined on a space domain having a vertex of exterior peak on the boundary. The boundary is assumed sufficiently smooth in a neighborhood of the peak vertex. The description of the traces on the boundary is given with the use of weighted Besov spaces. 
@article{MT_2014_17_1_a2,
     author = {M. Yu. Vasil'chik and I. M. Pupyshev},
     title = {Boundary behavior of functions from {Sobolev} classes defined on domains with exterior peak},
     journal = {Matemati\v{c}eskie trudy},
     pages = {70--98},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2014_17_1_a2/}
}
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M. Yu. Vasil'chik; I. M. Pupyshev. Boundary behavior of functions from Sobolev classes defined on domains with exterior peak. Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 70-98. http://geodesic.mathdoc.fr/item/MT_2014_17_1_a2/