A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 65-76
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Local estimates on the boundary of a domain for the gradients of solutions of second-order quasilinear elliptic equations are constructed. These estimates are applied to establish local estimates on the boundary for the second derivatives of solutions of a certain class of second-order nonlinear elliptic equations.
@article{ZNSL_1977_69_a4,
author = {A. V. Ivanov},
title = {A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {65--76},
publisher = {mathdoc},
volume = {69},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a4/}
}
TY - JOUR AU - A. V. Ivanov TI - A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain JO - Zapiski Nauchnykh Seminarov POMI PY - 1977 SP - 65 EP - 76 VL - 69 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a4/ LA - ru ID - ZNSL_1977_69_a4 ER -
%0 Journal Article %A A. V. Ivanov %T A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain %J Zapiski Nauchnykh Seminarov POMI %D 1977 %P 65-76 %V 69 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a4/ %G ru %F ZNSL_1977_69_a4
A. V. Ivanov. A priori estimates of the second derivatives of solutions to nonlinear second-order equations on the boundary of the domain. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 65-76. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a4/