Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 83-87
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V. A. Kondrat'ev; S. D. Éidel'man. Region of positivity of solutions of elliptic equations. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 83-87. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a11/
@article{MZM_1971_9_1_a11,
author = {V. A. Kondrat'ev and S. D. \'Eidel'man},
title = {Region of positivity of solutions of elliptic equations},
journal = {Matemati\v{c}eskie zametki},
pages = {83--87},
year = {1971},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a11/}
}
TY - JOUR
AU - V. A. Kondrat'ev
AU - S. D. Éidel'man
TI - Region of positivity of solutions of elliptic equations
JO - Matematičeskie zametki
PY - 1971
SP - 83
EP - 87
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a11/
LA - ru
ID - MZM_1971_9_1_a11
ER -
%0 Journal Article
%A V. A. Kondrat'ev
%A S. D. Éidel'man
%T Region of positivity of solutions of elliptic equations
%J Matematičeskie zametki
%D 1971
%P 83-87
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a11/
%G ru
%F MZM_1971_9_1_a11
The class of elliptic equations is identified whose solutions which are nonnegative in a sphere of a certain radius vanish identically. A generalization is indicated to the case of equations with complex coefficients and solutions whose values lie in a sector of the complex plane determined by the equation.