Geodesic
Analyticity of solutions of singular elliptic equationns
Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 147-153 
I. E. Egorov. Analyticity of solutions of singular elliptic equationns. Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 147-153. http://geodesic.mathdoc.fr/item/SM_1988_61_1_a10/
@article{SM_1988_61_1_a10,
     author = {I. E. Egorov},
     title = {Analyticity of solutions of singular elliptic equationns},
     journal = {Sbornik. Mathematics},
     pages = {147--153},
     year = {1988},
     volume = {61},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1988_61_1_a10/}
}
TY  - JOUR
AU  - I. E. Egorov
TI  - Analyticity of solutions of singular elliptic equationns
JO  - Sbornik. Mathematics
PY  - 1988
SP  - 147
EP  - 153
VL  - 61
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1988_61_1_a10/
LA  - en
ID  - SM_1988_61_1_a10
ER  - 
%0 Journal Article
%A I. E. Egorov
%T Analyticity of solutions of singular elliptic equationns
%J Sbornik. Mathematics
%D 1988
%P 147-153
%V 61
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1988_61_1_a10/
%G en
%F SM_1988_61_1_a10

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

The analyticity of solutions of a class of $B$-elliptic equations of order $2m$ up to the surface of singularity is investigated. In studying the analyticity of solutions of Problem $E$, the well-known Morrey–Nirenberg technique is used. Bibliography: 10 titles.

[1] Bers L., Dzhon F., Shekhter M., Uravneniya s chastnymi proizvodnymi, Mir, M., 1966 | MR | Zbl

[2] Tersenov S. A., “Ob analitichnosti reshenii odnogo klassa differentsialnykh uravnenii, vyrozhdayuschikhsya na granitse”, DAN SSSR, 228:6 (1976), 1294–1297 | MR | Zbl

[3] Vragov V. N., “Analitichnost reshenii zadachi $E$ dlya odnogo vyrozhdayuschegosya ellipticheskogo uravneniya”, Differents. uravneniya, 10:1 (1974), 36–40 | MR | Zbl

[4] Khe Kan Cher, “Ob analitichnosti resheniya odnogo klassa vyrozhdayuschikhsya uravnenii”, Primenenie metodov funktsionalnogo analiza k zadacham matematicheskoi fiziki, Novosibirsk, 1979, 142–145 | Zbl

[5] Oleinik O. A., Radkevich E. V., “Ob analitichnosti reshenii lineinykh uravnenii s chastnymi proizvodnymi”, Matem. sb., 90(132) (1973), 592–606 | MR | Zbl

[6] Kipriyanov I. A., “Ob odnom klasse singulyarnykh ellipticheskikh operatorov 1”, Differents. uravneniya, 7:11 (1971), 2066–2077 | Zbl

[7] Kipriyanov I. A., Bogachev B. M., “O normalnoi razreshimosti nekotorykh singulyarnykh i vyrozhdayuschikhsya differentsialnykh uravnenii”, Primenenie metodov teorii funktsii i funktsionalnogo analiza k zadacham matematicheskoi fiziki, Novosibirsk, 1978, 104–110

[8] Katrakhov V. V., “Spektralnaya funktsiya nekotorykh singulyarnykh differentsialnykh operatorov 1”, Differents. uravneniya, 12:7 (1976), 1256–1266 | MR | Zbl

[9] Egorov I. E., “Analitichnost resheniya zadachi $E$ dlya singulyarnogo ellipticheskogo uravneniya”, Neklassicheskie zadachi uravnenii matematicheskoi fiziki, Novosibirsk, 1982, 69–72

[10] Petrowsky I. G., “Sur l'analyticite des solutions des systems d'equations differentielles”, Matem. sb., 5(47) (1939), 3–70 | MR | Zbl