Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 83-96
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A. V. Ivanov. Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 83-96. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a6/
@article{ZNSL_1982_115_a6,
author = {A. V. Ivanov},
title = {Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {83--96},
year = {1982},
volume = {115},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a6/}
}
TY - JOUR
AU - A. V. Ivanov
TI - Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 83
EP - 96
VL - 115
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a6/
LA - ru
ID - ZNSL_1982_115_a6
ER -
%0 Journal Article
%A A. V. Ivanov
%T Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 83-96
%V 115
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a6/
%G ru
%F ZNSL_1982_115_a6
For second-order quasilinear degenerate elliptic equations, having the structure of $(A,\vec0)$-elliptic equations in a bounded domain $\Omega\subset R^n$, $n\ge2$, one establishes theorems of existence and uniqueness for the generalized solutions of the first boundary-value problem, bounded together with their $A$-derivatives of first order and also of first and second order. The case of linear second-order $(A,\vec0)$-elliptic equations are separately considered.
