Geodesic
Some differentiability properties of solutions of elliptic equations with measurable coefficients
Izvestiya. Mathematics, Tome 27 (1986) no. 3, pp. 601-606 
N. S. Nadirashvili. Some differentiability properties of solutions of elliptic equations with measurable coefficients. Izvestiya. Mathematics, Tome 27 (1986) no. 3, pp. 601-606. http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a9/
@article{IM2_1986_27_3_a9,
     author = {N. S. Nadirashvili},
     title = {Some differentiability properties of solutions of elliptic equations with measurable coefficients},
     journal = {Izvestiya. Mathematics},
     pages = {601--606},
     year = {1986},
     volume = {27},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a9/}
}
TY  - JOUR
AU  - N. S. Nadirashvili
TI  - Some differentiability properties of solutions of elliptic equations with measurable coefficients
JO  - Izvestiya. Mathematics
PY  - 1986
SP  - 601
EP  - 606
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a9/
LA  - en
ID  - IM2_1986_27_3_a9
ER  - 
%0 Journal Article
%A N. S. Nadirashvili
%T Some differentiability properties of solutions of elliptic equations with measurable coefficients
%J Izvestiya. Mathematics
%D 1986
%P 601-606
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1986_27_3_a9/
%G en
%F IM2_1986_27_3_a9

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

Solutions of elliptic equations of second order are investigated from the viewpoint of the existence for them of so-called ordinary derivatives of order $k$. Bibliography: 7 titles.

[1] Nirenberg L., Lektsii po nelineinomu funktsionalnomu analizu, Mir, M., 1977 | MR | Zbl

[2] Aleksandrov A. D., “Suschestvovanie pochti vsyudu vtorogo differentsiala vypukloi funktsii i svyazannye s nim svoistva vypuklykh poverkhnostei”, Uch. zap. LGU, ser. matem., 6 (1939), 3–35 | Zbl

[3] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR

[4] Aleksandrov A. D., “Mazhorirovanie reshenii lineinykh uravnenii vtorogo poryadka”, Vestnik LGU, 1966, no. 1, 5–25 | MR | Zbl

[5] Krylov N. V., Safonov M. V., “Nekotoroe svoistvo reshenii parabolicheskikh uravnenii s izmerimymi koeffitsientami”, Izv. AN SSSR. Ser. matem., 44:1 (1980), 161–175 | MR | Zbl

[6] Agmon S., Dugmes A., Nirenberg L., Otsenki reshenii ellipticheskikh uravnenii vblizi granitsy, IL, M., 1962

[7] Landis E. M., Uravneniya vtorogo poryadka ellipticheskogo i parabolicheskogo tipov, Nauka, M., 1971 | MR