On boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities
Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 83-106
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Boundedness of generalized solutions of elliptic differential equations of divergence form with anisotropic nonpower nonlinearities is established. The proof of theorems on the boundedness of solutions is carried out by means of a further development of Moser's iteration technique; a preparatory feature is the derivation of an integral inequality of imbedding-theorem type for functions in anisotropic Sobolev–Orlicz spaces.
Bibliography: 28 titles.
@article{SM_1990_66_1_a3,
author = {A. G. Korolev},
title = {On boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities},
journal = {Sbornik. Mathematics},
pages = {83--106},
publisher = {mathdoc},
volume = {66},
number = {1},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1990_66_1_a3/}
}
TY - JOUR AU - A. G. Korolev TI - On boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities JO - Sbornik. Mathematics PY - 1990 SP - 83 EP - 106 VL - 66 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1990_66_1_a3/ LA - en ID - SM_1990_66_1_a3 ER -
A. G. Korolev. On boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities. Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 83-106. http://geodesic.mathdoc.fr/item/SM_1990_66_1_a3/