Geodesic
On nonlinear equations of the form $F(x,u,Du,\Delta u)=0$
Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 367-392 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Dirichlet problem for equations of the form $F(x,u,Du,\Delta u)=0$ and also the initial boundary value problem for a parabolic equation with a nonlinearity are studied. 
@article{SM_1995_80_2_a5,
     author = {K. N. Soltanov},
     title = {On nonlinear equations of the~form $F(x,u,Du,\Delta u)=0$},
     journal = {Sbornik. Mathematics},
     pages = {367--392},
     year = {1995},
     volume = {80},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/}
}
TY  - JOUR
AU  - K. N. Soltanov
TI  - On nonlinear equations of the form $F(x,u,Du,\Delta u)=0$
JO  - Sbornik. Mathematics
PY  - 1995
SP  - 367
EP  - 392
VL  - 80
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/
LA  - en
ID  - SM_1995_80_2_a5
ER  - 
%0 Journal Article
%A K. N. Soltanov
%T On nonlinear equations of the form $F(x,u,Du,\Delta u)=0$
%J Sbornik. Mathematics
%D 1995
%P 367-392
%V 80
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/
%G en
%F SM_1995_80_2_a5
K. N. Soltanov. On nonlinear equations of the form $F(x,u,Du,\Delta u)=0$. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 367-392. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/

[1] Krylov N. V., Nelineinye ellipticheskie i parabolicheskie uravneniya vtorogo poryadka, Nauka, M., 1985 | MR

[2] Gilbarg D., Trudinger N., Ellipticheskie uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M, 1989 | MR | Zbl

[3] Soltanov K. N., “O razreshimosti nelineinykh uravnenii i nekotorye teoremy vlozheniya”, Izv. AN Az. SSR. Ser. fiz.-tekhn. matem. nauk, 5 (1983), 36–41 | MR

[4] Soltanov K. N., “O razreshimosti nekotorykh nelineinykh evolyutsionnykh zadach”, Izv. AN Az. SSR. Ser. fiz.-tekhn. i matem. nauk, 4 (1985), 18–22 | MR | Zbl

[5] Dubinskii Yu. A., “Slabaya skhodimost v nelineinykh ellipticheskikh i parabolicheskikh uravneniyakh”, Matem. sb., 67(109) (1965), 609–642 | MR | Zbl

[6] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR

[7] Agmon S., Duglis A., Nirenberg L., Otsenki vblizi granitsy reshenii ellipticheskikh uravnenii v chastnykh proizvodnykh pri obschikh granichnykh usloviyakh, IL, M., 1962

[8] Dubinskii Yu. A., “Nelineinye ellipticheskie i parabolicheskie uravneniya”, Itogi nauki i tekhniki. Sovrem. problemy matem., 9, 1976, 3–130

[9] Soltanov K. N., “K teorii normalnoi razreshimosti nelineinykh uravnenii”, DAN SSSR, 278:1 (1984), 42–46 | MR | Zbl

[10] Soltanov K. N., “Ob odnoi nelineinoi zadache parabolicheskogo tipa”, DAN Az. SSR, 39:1 (1983), 11–14 | MR | Zbl

[11] Soltanov K. N., Teoremy vlozheniya dlya nelineinykh prostranstv i razreshimost nekotorykh nelineinykh nekoertsitivnykh uravnenii, dep. v VINITI 16.09.91, No 3697-B91