Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces
Sbornik. Mathematics, Tome 41 (1982) no. 2, pp. 203-216
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This paper studies the Dirichlet problem for elliptic equations of infinite order with arbitrary nonlinearities specified in a bounded domain of Euclidean space. An effective method of testing the nontriviality of the corresponding “energy” function spaces is presented.
Bibliography: 15 titles.
@article{SM_1982_41_2_a2,
author = {Tran Duc Van},
title = {Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces},
journal = {Sbornik. Mathematics},
pages = {203--216},
publisher = {mathdoc},
volume = {41},
number = {2},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_41_2_a2/}
}
TY - JOUR AU - Tran Duc Van TI - Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces JO - Sbornik. Mathematics PY - 1982 SP - 203 EP - 216 VL - 41 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1982_41_2_a2/ LA - en ID - SM_1982_41_2_a2 ER -
Tran Duc Van. Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces. Sbornik. Mathematics, Tome 41 (1982) no. 2, pp. 203-216. http://geodesic.mathdoc.fr/item/SM_1982_41_2_a2/