$A$-Solutions with singularities as almost solutions
Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1587-1605
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Almost solutions of quasilinear partial differential equations
of the elliptic type are introduced. The class of equations under
consideration contains, in particular, the equations of
$p$-harmonic functions, the gas dynamic equation, and some other
equations. Conditions ensuring that singular solutions to equations are
almost solutions are indicated. Applications to the problem of
removable singularities of solutions of elliptic equations and quasiregular maps
are presented. The proofs are based on connections with differential
forms.
Bibliography: 32 titles.
@article{SM_2006_197_11_a2,
author = {V. M. Miklyukov},
title = {$A${-Solutions} with singularities as almost solutions},
journal = {Sbornik. Mathematics},
pages = {1587--1605},
publisher = {mathdoc},
volume = {197},
number = {11},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/}
}
V. M. Miklyukov. $A$-Solutions with singularities as almost solutions. Sbornik. Mathematics, Tome 197 (2006) no. 11, pp. 1587-1605. http://geodesic.mathdoc.fr/item/SM_2006_197_11_a2/