Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
TY - JOUR AU - M. Yu. Vasil'chik AU - I. M. Pupyshev TI - Boundary behavior of functions from Sobolev classes defined on domains with exterior peak JO - Matematičeskie trudy PY - 2014 SP - 70 EP - 98 VL - 17 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MT_2014_17_1_a2/ LA - ru ID - MT_2014_17_1_a2 ER -
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/
[1] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl
[2] Vasilchik M. Yu., “O sledakh funktsii iz prostranstv Soboleva $W^1_p$, opredelennykh v oblastyakh s nelipshitsevoi granitsei”, Sovremennye problemy geometrii i analiza, Tr. In-ta matematiki SO AN SSSR, 14, Nauka, Novosibirsk, 1989, 9–45 | MR
[3] Vasilchik M. Yu., “Granichnye svoistva funktsii iz prostranstva Soboleva, opredelennykh v ploskoi oblasti s uglovymi tochkami”, Sib. matem. zhurn., 36:4 (1995), 787–804 | MR | Zbl
[4] Vasilchik M. Yu., “O granichnom povedenii funktsii iz prostranstv Soboleva, opredelennykh v ploskoi oblasti s vershinoi pika na granitse”, Matem. tr., 6:1 (2003), 3–27 | MR | Zbl
[5] Vasilchik M. Yu., Pupyshev I. M., “Integralnoe predstavlenie i granichnoe povedenie funktsii, opredelennykh v oblasti s pikom”, Matem. tr., 13:1 (2010), 23–62 | MR
[6] Mazya V. G., “O funktsiyakh s konechnym integralom Dirikhle v oblasti s vershinoi pika na granitse”, Zap. nauchn. seminarov LOMI, 126, Mat. in-t im. V. A. Steklova. Leningr. otd-nie, M.–L., 1983, 117–137 | MR | Zbl
[7] Mazya V. G., Netrusov Yu. V., Poborchii S. V., “Granichnye znacheniya funktsii iz prostranstv Soboleva v nekotorykh nelipshitsevykh oblastyakh”, Algebra i analiz, 11 (1999), 141–170 | MR | Zbl
[8] Mazya V. G., Poborchii S. V., “O sledakh funktsii s summiruemym gradientom v oblasti s vershinoi pika na granitse”, Matem. zametki, 45:1 (1989), 57–65 | MR | Zbl
[9] Mazya V. G., Poborchii S. V., “Sledy funktsii iz prostranstv Soboleva na granitse oblasti s pikom”, Sovremennye problemy geometrii i analiza, Tr. In-ta matematiki SO AN SSSR, 14, Nauka, Novosibirsk, 1989, 182–208 | MR
[10] Faddeev D. K., Vulikh B. Z., Uraltseva N. N., Izbrannye glavy analiza i vysshei algebry, Izd-vo LGU, L., 1981 | Zbl
[11] Yakovlev G. N., “Granichnye svoistva funktsii klassa $W_p^{(l)}$ na oblastyakh s uglovymi tochkami”, Dokl. AN SSSR, 140:1 (1961), 73–76 | MR | Zbl
[12] Yakovlev G. N., “Zadacha Dirikhle dlya oblastei s nelipshitsevoi granitsei”, Differents. uravneniya, 1:8 (1965), 1085–1098 | Zbl
[13] Yakovlev G. N., “O sledakh funktsii iz prostranstva $W^l_p$ na kusochno-gladkikh poverkhnostyakh”, Matem. sb., 74(116):4 (1967), 526–543 | MR | Zbl
[14] Jonsson A., Wallin H., “A Whitney extension theorem in $L_p$ and Besov spaces”, Ann. Inst. Fourier (Grenoble), 28:1 (1978), 139–192 | DOI | MR | Zbl